8514056952 has 96 divisors (see below), whose sum is σ = 23598993600. Its totient is φ = 2772027648.

The previous prime is 8514056927. The next prime is 8514056963. The reversal of 8514056952 is 2596504158.

8514056952 is a `hidden beast` number, since 85 + 1 + 4 + 0 + 569 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8514056898 and 8514056907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868993 + ... + 878735.

It is an arithmetic number, because the mean of its divisors is an integer number (245822850).

Almost surely, 2^8514056952 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 8514056952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11799496800).

8514056952 is an abundant number, since it is smaller than the sum of its proper divisors (15084936648).

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

8514056952 is a wasteful number, since it uses less digits than its factorization.

8514056952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10037 (or 10030 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 8514056952 is about 92271.6476064018. The cubic root of 8514056952 is about 2041.9519437113.

The spelling of 8514056952 in words is "eight billion, five hundred fourteen million, fifty-six thousand, nine hundred fifty-two".