96767451144 has 256 divisors, whose sum is σ = 332946700800. Its totient is φ = 25357722624.

The previous prime is 96767451139. The next prime is 96767451161. The reversal of 96767451144 is 44115476769.

It is a happy number.

96767451144 is a `hidden beast` number, since 9 + 67 + 67 + 4 + 511 + 4 + 4 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3070314 + ... + 3101670.

It is an arithmetic number, because the mean of its divisors is an integer number (1300573050).

Almost surely, 2^96767451144 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 96767451144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166473350400).

96767451144 is an abundant number, since it is smaller than the sum of its proper divisors (236179249656).

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

96767451144 is a wasteful number, since it uses less digits than its factorization.

96767451144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31549 (or 31539 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 96767451144 in words is "ninety-six billion, seven hundred sixty-seven million, four hundred fifty-one thousand, one hundred forty-four".