96114095161344 has 1152 divisors, whose sum is σ = 322251377011200. Its totient is φ = 28619581685760.

The previous prime is 96114095161339. The next prime is 96114095161363. The reversal of 96114095161344 is 44316159041169.

It is a happy number.

96114095161344 is a `hidden beast` number, since 9 + 6 + 1 + 14 + 0 + 9 + 5 + 1 + 613 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×96114095161344² (a number of 29 digits) contains 22 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3100454682609 + ... + 3100454682639.

It is an arithmetic number, because the mean of its divisors is an integer number (279732098100).

Almost surely, 2^{96114095161344} 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 96114095161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161125688505600).

96114095161344 is an abundant number, since it is smaller than the sum of its proper divisors (226137281849856).

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

96114095161344 is an frugal number, since it uses more digits than its factorization.

96114095161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 96114095161344 in words is "ninety-six trillion, one hundred fourteen billion, ninety-five million, one hundred sixty-one thousand, three hundred forty-four".