338061139992576 has 6720 divisors, whose sum is σ = 1504474638796800. Its totient is φ = 74662658703360.

The previous prime is 338061139992551. The next prime is 338061139992577. The reversal of 338061139992576 is 675299931160833.

338061139992576 is a `hidden beast` number, since 3 + 3 + 8 + 0 + 6 + 11 + 39 + 9 + 9 + 2 + 576 = 666.

It is a super-2 number, since 2×338061139992576² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338061139992577) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7192790212585 + ... + 7192790212631.

Almost surely, 2^{338061139992576} is an apocalyptic number.

338061139992576 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 338061139992576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752237319398400).

338061139992576 is an abundant number, since it is smaller than the sum of its proper divisors (1166413498804224).

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

338061139992576 is a wasteful number, since it uses less digits than its factorization.

338061139992576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 338061139992576 in words is "three hundred thirty-eight trillion, sixty-one billion, one hundred thirty-nine million, nine hundred ninety-two thousand, five hundred seventy-six".