264801211938432 has 160 divisors (see below), whose sum is σ = 848662894551780. Its totient is φ = 81477295939584.

The previous prime is 264801211938397. The next prime is 264801211938449. The reversal of 264801211938432 is 234839112108462.

It is a happy number.

264801211938432 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 0 + 12 + 1 + 193 + 8 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 211534219054656 + 53266992883776 = 14544216^2 + 7298424^2 .

It is a super-3 number, since 3×264801211938432³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 982182153 + ... + 982451720.

Almost surely, 2^{264801211938432} is an apocalyptic number.

It is an amenable number.

264801211938432 is an abundant number, since it is smaller than the sum of its proper divisors (583861682613348).

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

264801211938432 is a wasteful number, since it uses less digits than its factorization.

264801211938432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964633912 (or 1964633891 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 264801211938432 in words is "two hundred sixty-four trillion, eight hundred one billion, two hundred eleven million, nine hundred thirty-eight thousand, four hundred thirty-two".