96711091513344 has 768 divisors, whose sum is σ = 357348218572800. Its totient is φ = 25107347865600.

The previous prime is 96711091513301. The next prime is 96711091513357. The reversal of 96711091513344 is 44331519011769.

It is a happy number.

96711091513344 is a `hidden beast` number, since 9 + 6 + 7 + 1 + 1 + 0 + 91 + 513 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11270371134 + ... + 11270379714.

It is an arithmetic number, because the mean of its divisors is an integer number (465297159600).

Almost surely, 2^{96711091513344} 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 96711091513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178674109286400).

96711091513344 is an abundant number, since it is smaller than the sum of its proper divisors (260637127059456).

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

96711091513344 is a wasteful number, since it uses less digits than its factorization.

96711091513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11277 (or 11251 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 96711091513344 in words is "ninety-six trillion, seven hundred eleven billion, ninety-one million, five hundred thirteen thousand, three hundred forty-four".