96514527456 has 240 divisors, whose sum is σ = 289266139008. Its totient is φ = 31562784000.

The previous prime is 96514527451. The next prime is 96514527457. The reversal of 96514527456 is 65472541569.

96514527456 is a `hidden beast` number, since 9 + 6 + 514 + 5 + 2 + 74 + 56 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96514527451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32484051 + ... + 32487021.

Almost surely, 2^96514527456 is an apocalyptic number.

96514527456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96514527456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144633069504).

96514527456 is an abundant number, since it is smaller than the sum of its proper divisors (192751611552).

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

96514527456 is a wasteful number, since it uses less digits than its factorization.

96514527456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3210 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 96514527456 in words is "ninety-six billion, five hundred fourteen million, five hundred twenty-seven thousand, four hundred fifty-six".