338257100160000 has 2640 divisors, whose sum is σ = 1524641590517760. Its totient is φ = 70416138240000.

The previous prime is 338257100159999. The next prime is 338257100160073. The reversal of 338257100160000 is 61001752833.

338257100160000 is a `hidden beast` number, since 3 + 3 + 82 + 571 + 0 + 0 + 1 + 6 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×338257100160000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21248632041 + ... + 21248647959.

It is an arithmetic number, because the mean of its divisors is an integer number (577515753984).

Almost surely, 2^{338257100160000} is an apocalyptic number.

338257100160000 is a gapful number since it is divisible by the number (30) 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 338257100160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762320795258880).

338257100160000 is an abundant number, since it is smaller than the sum of its proper divisors (1186384490357760).

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

338257100160000 is a wasteful number, since it uses less digits than its factorization.

338257100160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16020 (or 15984 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 338257100160000 in words is "three hundred thirty-eight trillion, two hundred fifty-seven billion, one hundred million, one hundred sixty thousand".