250198160116464 has 640 divisors, whose sum is σ = 883693440000000. Its totient is φ = 67560862102272.

The previous prime is 250198160116459. The next prime is 250198160116517. The reversal of 250198160116464 is 464611061891052.

250198160116464 is a `hidden beast` number, since 2 + 5 + 0 + 1 + 9 + 8 + 1 + 60 + 116 + 464 = 666.

250198160116464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 250198160116464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1179523087 + ... + 1179735185.

It is an arithmetic number, because the mean of its divisors is an integer number (1380771000000).

Almost surely, 2^{250198160116464} is an apocalyptic number.

250198160116464 is a gapful number since it is divisible by the number (24) 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 250198160116464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441846720000000).

250198160116464 is an abundant number, since it is smaller than the sum of its proper divisors (633495279883536).

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

250198160116464 is a wasteful number, since it uses less digits than its factorization.

250198160116464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212575 (or 212549 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 250198160116464 in words is "two hundred fifty trillion, one hundred ninety-eight billion, one hundred sixty million, one hundred sixteen thousand, four hundred sixty-four".