338156937216 has 672 divisors, whose sum is σ = 1195453092960. Its totient is φ = 94135910400.

The previous prime is 338156937137. The next prime is 338156937229. The reversal of 338156937216 is 612739651833.

338156937216 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 569 + 3 + 72 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×338156937216² (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 47 ways as a sum of consecutive naturals, for example, 444358276 + ... + 444359036.

It is an arithmetic number, because the mean of its divisors is an integer number (1778948055).

Almost surely, 2^338156937216 is an apocalyptic number.

338156937216 is a gapful number since it is divisible by the number (36) 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 338156937216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597726546480).

338156937216 is an abundant number, since it is smaller than the sum of its proper divisors (857296155744).

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

338156937216 is an equidigital number, since it uses as much as digits as its factorization.

338156937216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 814 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 338156937216 in words is "three hundred thirty-eight billion, one hundred fifty-six million, nine hundred thirty-seven thousand, two hundred sixteen".