252516047741464 has 128 divisors (see below), whose sum is σ = 519040873008000. Its totient is φ = 114459816960000.

The previous prime is 252516047741407. The next prime is 252516047741473. The reversal of 252516047741464 is 464147740615252.

It is a junction number, because it is equal to n+sod(n) for n = 252516047741399 and 252516047741408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11609388589 + ... + 11609410339.

It is an arithmetic number, because the mean of its divisors is an integer number (4055006820375).

Almost surely, 2^{252516047741464} 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 252516047741464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259520436504000).

252516047741464 is an abundant number, since it is smaller than the sum of its proper divisors (266524825266536).

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

252516047741464 is a wasteful number, since it uses less digits than its factorization.

252516047741464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24549 (or 24545 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 58.

The spelling of 252516047741464 in words is "two hundred fifty-two trillion, five hundred sixteen billion, forty-seven million, seven hundred forty-one thousand, four hundred sixty-four".