96746453685504 has 360 divisors, whose sum is σ = 329757453260928. Its totient is φ = 27636348579840.

The previous prime is 96746453685481. The next prime is 96746453685517. The reversal of 96746453685504 is 40558635464769.

96746453685504 is a `hidden beast` number, since 9 + 6 + 7 + 4 + 6 + 4 + 5 + 3 + 68 + 550 + 4 = 666.

96746453685504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 760097389 + ... + 760224659.

Almost surely, 2^{96746453685504} 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 96746453685504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164878726630464).

96746453685504 is an abundant number, since it is smaller than the sum of its proper divisors (233010999575424).

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

96746453685504 is a wasteful number, since it uses less digits than its factorization.

96746453685504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132543 (or 132520 counting only the distinct ones).

The product of its (nonzero) digits is 2612736000, while the sum is 72.

The spelling of 96746453685504 in words is "ninety-six trillion, seven hundred forty-six billion, four hundred fifty-three million, six hundred eighty-five thousand, five hundred four".