213746854793472 has 4608 divisors, whose sum is σ = 930421997568000. Its totient is φ = 46552684953600.

The previous prime is 213746854793413. The next prime is 213746854793531. The reversal of 213746854793472 is 274397458647312.

213746854793472 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 4 + 6 + 8 + 547 + 9 + 3 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (213746854793413) and next prime (213746854793531).

It is a super-3 number, since 3×213746854793472³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 213746854793472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 612455171154 + ... + 612455171502.

It is an arithmetic number, because the mean of its divisors is an integer number (201914496000).

Almost surely, 2^{213746854793472} is an apocalyptic number.

213746854793472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213746854793472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465210998784000).

213746854793472 is an abundant number, since it is smaller than the sum of its proper divisors (716675142774528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213746854793472 is a wasteful number, since it uses less digits than its factorization.

213746854793472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 570 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 72.

The spelling of 213746854793472 in words is "two hundred thirteen trillion, seven hundred forty-six billion, eight hundred fifty-four million, seven hundred ninety-three thousand, four hundred seventy-two".