252021641834016 has 72 divisors (see below), whose sum is σ = 728833773573360. Its totient is φ = 82583362855296.

The previous prime is 252021641834009. The next prime is 252021641834041. The reversal of 252021641834016 is 610438146120252.

252021641834016 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 2 + 1 + 64 + 183 + 401 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7415874070 + ... + 7415908053.

It is an arithmetic number, because the mean of its divisors is an integer number (10122691299630).

Almost surely, 2^{252021641834016} is an apocalyptic number.

It is an amenable number.

252021641834016 is an abundant number, since it is smaller than the sum of its proper divisors (476812131739344).

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

252021641834016 is a wasteful number, since it uses less digits than its factorization.

252021641834016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14831782198 (or 14831782187 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 252021641834016 its reverse (610438146120252), we get a palindrome (862459787954268).

The spelling of 252021641834016 in words is "two hundred fifty-two trillion, twenty-one billion, six hundred forty-one million, eight hundred thirty-four thousand, sixteen".