914913731952 has 960 divisors, whose sum is σ = 3127959797760. Its totient is φ = 255315456000.

The previous prime is 914913731917. The next prime is 914913731969. The reversal of 914913731952 is 259137319419.

914913731952 is a `hidden beast` number, since 9 + 1 + 491 + 37 + 31 + 95 + 2 = 666.

It is a super-2 number, since 2×914913731952² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3122572318 + ... + 3122572610.

It is an arithmetic number, because the mean of its divisors is an integer number (3258291456).

Almost surely, 2^914913731952 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 914913731952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563979898880).

914913731952 is an abundant number, since it is smaller than the sum of its proper divisors (2213046065808).

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

914913731952 is a wasteful number, since it uses less digits than its factorization.

914913731952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 428 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The spelling of 914913731952 in words is "nine hundred fourteen billion, nine hundred thirteen million, seven hundred thirty-one thousand, nine hundred fifty-two".