952881114624 has 160 divisors (see below), whose sum is σ = 2689304302080. Its totient is φ = 298782523392.

The previous prime is 952881114593. The next prime is 952881114629. The reversal of 952881114624 is 426411188259.

It is a happy number.

952881114624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×952881114624² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952881114629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54382537 + ... + 54400055.

It is an arithmetic number, because the mean of its divisors is an integer number (16808151888).

Almost surely, 2^952881114624 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 952881114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344652151040).

952881114624 is an abundant number, since it is smaller than the sum of its proper divisors (1736423187456).

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

952881114624 is a wasteful number, since it uses less digits than its factorization.

952881114624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19640 (or 19624 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The spelling of 952881114624 in words is "nine hundred fifty-two billion, eight hundred eighty-one million, one hundred fourteen thousand, six hundred twenty-four".