338770057008096 has 960 divisors, whose sum is σ = 1165174784040960. Its totient is φ = 94559424675840.

The previous prime is 338770057008073. The next prime is 338770057008101. The reversal of 338770057008096 is 690800750077833.

338770057008096 is a `hidden beast` number, since 338 + 7 + 70 + 0 + 5 + 70 + 0 + 80 + 96 = 666.

It is a super-2 number, since 2×338770057008096² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 232193321415 + ... + 232193322873.

It is an arithmetic number, because the mean of its divisors is an integer number (1213723733376).

Almost surely, 2^{338770057008096} is an apocalyptic number.

338770057008096 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 338770057008096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582587392020480).

338770057008096 is an abundant number, since it is smaller than the sum of its proper divisors (826404727032864).

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

338770057008096 is a wasteful number, since it uses less digits than its factorization.

338770057008096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 338770057008096 in words is "three hundred thirty-eight trillion, seven hundred seventy billion, fifty-seven million, eight thousand, ninety-six".