96735461194944 has 2240 divisors, whose sum is σ = 356573535166464. Its totient is φ = 25530163200000.

The previous prime is 96735461194927. The next prime is 96735461194949. The reversal of 96735461194944 is 44949116453769.

It is a happy number.

96735461194944 is a `hidden beast` number, since 9 + 6 + 7 + 35 + 461 + 1 + 94 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (705438720) is a multiple of the sum of its prime divisors (729).

It is not an unprimeable number, because it can be changed into a prime (96735461194949) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 211674969564 + ... + 211674970020.

Almost surely, 2^{96735461194944} 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 96735461194944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178286767583232).

96735461194944 is an abundant number, since it is smaller than the sum of its proper divisors (259838073971520).

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

96735461194944 is a wasteful number, since it uses less digits than its factorization.

96735461194944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 729 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 96735461194944 in words is "ninety-six trillion, seven hundred thirty-five billion, four hundred sixty-one million, one hundred ninety-four thousand, nine hundred forty-four".