264998536229232 has 240 divisors, whose sum is σ = 806897964600000. Its totient is φ = 80702528901120.

The previous prime is 264998536229227. The next prime is 264998536229257. The reversal of 264998536229232 is 232922635899462.

264998536229232 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 9 + 8 + 5 + 362 + 29 + 232 = 666.

It is a super-3 number, since 3×264998536229232³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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 47 ways as a sum of consecutive naturals, for example, 76688269 + ... + 80069267.

It is an arithmetic number, because the mean of its divisors is an integer number (3362074852500).

Almost surely, 2^{264998536229232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264998536229232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403448982300000).

264998536229232 is an abundant number, since it is smaller than the sum of its proper divisors (541899428370768).

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

264998536229232 is a wasteful number, since it uses less digits than its factorization.

264998536229232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381456 (or 3381447 counting only the distinct ones).

The product of its digits is 1209323520, while the sum is 72.

The spelling of 264998536229232 in words is "two hundred sixty-four trillion, nine hundred ninety-eight billion, five hundred thirty-six million, two hundred twenty-nine thousand, two hundred thirty-two".