338155923456 has 216 divisors, whose sum is σ = 1057572578790. Its totient is φ = 104047017984.

The previous prime is 338155923341. The next prime is 338155923463. The reversal of 338155923456 is 654329551833.

338155923456 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 5 + 592 + 3 + 45 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 160948601856 + 177207321600 = 401184^2 + 420960^2 .

It is a super-2 number, since 2×338155923456² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3060730 + ... + 3169286.

Almost surely, 2^338155923456 is an apocalyptic number.

338155923456 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 338155923456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528786289395).

338155923456 is an abundant number, since it is smaller than the sum of its proper divisors (719416655334).

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

338155923456 is a wasteful number, since it uses less digits than its factorization.

338155923456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108611 (or 108575 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The spelling of 338155923456 in words is "three hundred thirty-eight billion, one hundred fifty-five million, nine hundred twenty-three thousand, four hundred fifty-six".