213279746891904 has 1536 divisors, whose sum is σ = 828788918630400. Its totient is φ = 50972339404800.

The previous prime is 213279746891833. The next prime is 213279746891947. The reversal of 213279746891904 is 409198647972312.

213279746891904 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 79 + 7 + 468 + 9 + 1 + 90 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15685787634 + ... + 15685801230.

It is an arithmetic number, because the mean of its divisors is an integer number (539576118900).

Almost surely, 2^{213279746891904} is an apocalyptic number.

213279746891904 is a gapful number since it is divisible by the number (24) 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 213279746891904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414394459315200).

213279746891904 is an abundant number, since it is smaller than the sum of its proper divisors (615509171738496).

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

213279746891904 is a wasteful number, since it uses less digits than its factorization.

213279746891904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13922 (or 13907 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 213279746891904 in words is "two hundred thirteen trillion, two hundred seventy-nine billion, seven hundred forty-six million, eight hundred ninety-one thousand, nine hundred four".