514617131600160 has 384 divisors, whose sum is σ = 1776924810501120. Its totient is φ = 124611006234624.

The previous prime is 514617131600147. The next prime is 514617131600197. The reversal of 514617131600160 is 61006131716415.

It is a super-2 number, since 2×514617131600160² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313201882 + ... + 314840678.

It is an arithmetic number, because the mean of its divisors is an integer number (4627408360680).

Almost surely, 2^{514617131600160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514617131600160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888462405250560).

514617131600160 is an abundant number, since it is smaller than the sum of its proper divisors (1262307678900960).

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

514617131600160 is a wasteful number, since it uses less digits than its factorization.

514617131600160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640188 (or 1640180 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 514617131600160 in words is "five hundred fourteen trillion, six hundred seventeen billion, one hundred thirty-one million, six hundred thousand, one hundred sixty".