338464615392 has 48 divisors (see below), whose sum is σ = 987188464080. Its totient is φ = 112821538176.

The previous prime is 338464615309. The next prime is 338464615429. The reversal of 338464615392 is 293516464833.

338464615392 is a `hidden beast` number, since 3 + 3 + 8 + 46 + 4 + 61 + 539 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×338464615392² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 195869863 + ... + 195871590.

It is an arithmetic number, because the mean of its divisors is an integer number (20566426335).

Almost surely, 2^338464615392 is an apocalyptic number.

338464615392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

338464615392 is an abundant number, since it is smaller than the sum of its proper divisors (648723848688).

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

338464615392 is a wasteful number, since it uses less digits than its factorization.

338464615392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391741472 (or 391741458 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 338464615392 in words is "three hundred thirty-eight billion, four hundred sixty-four million, six hundred fifteen thousand, three hundred ninety-two".