338511127025160 has 640 divisors, whose sum is σ = 1171713094041600. Its totient is φ = 87622321328640.

The previous prime is 338511127025147. The next prime is 338511127025171. The reversal of 338511127025160 is 61520721115833.

338511127025160 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 1 + 1 + 127 + 0 + 2 + 516 + 0 = 666.

It is a super-2 number, since 2×338511127025160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5122481479 + ... + 5122547561.

It is an arithmetic number, because the mean of its divisors is an integer number (1830801709440).

Almost surely, 2^{338511127025160} is an apocalyptic number.

338511127025160 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 338511127025160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585856547020800).

338511127025160 is an abundant number, since it is smaller than the sum of its proper divisors (833201967016440).

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

338511127025160 is a wasteful number, since it uses less digits than its factorization.

338511127025160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66503 (or 66490 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 338511127025160 in words is "three hundred thirty-eight trillion, five hundred eleven billion, one hundred twenty-seven million, twenty-five thousand, one hundred sixty".