213565492812672 has 4096 divisors, whose sum is σ = 898519716864000. Its totient is φ = 48559266201600.

The previous prime is 213565492812641. The next prime is 213565492812689. The reversal of 213565492812672 is 276218294565312.

213565492812672 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 6 + 5 + 492 + 81 + 2 + 67 + 2 = 666.

It is a super-2 number, since 2×213565492812672² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 886163870472 + ... + 886163870712.

It is an arithmetic number, because the mean of its divisors is an integer number (219365165250).

Almost surely, 2^{213565492812672} is an apocalyptic number.

213565492812672 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 213565492812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449259858432000).

213565492812672 is an abundant number, since it is smaller than the sum of its proper divisors (684954224051328).

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

213565492812672 is a wasteful number, since it uses less digits than its factorization.

213565492812672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 379 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 213565492812672 in words is "two hundred thirteen trillion, five hundred sixty-five billion, four hundred ninety-two million, eight hundred twelve thousand, six hundred seventy-two".