96953905314 has 80 divisors (see below), whose sum is σ = 248393035968. Its totient is φ = 27688959648.

The previous prime is 96953905267. The next prime is 96953905327. The reversal of 96953905314 is 41350935969.

96953905314 is a `hidden beast` number, since 96 + 9 + 539 + 0 + 5 + 3 + 14 = 666.

It is a super-4 number, since 4×96953905314⁴ (a number of 45 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2746017 + ... + 2781099.

Almost surely, 2^96953905314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96953905314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124196517984).

96953905314 is an abundant number, since it is smaller than the sum of its proper divisors (151439130654).

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

96953905314 is a wasteful number, since it uses less digits than its factorization.

96953905314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37541 (or 37532 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 96953905314 in words is "ninety-six billion, nine hundred fifty-three million, nine hundred five thousand, three hundred fourteen".