96946545024 has 384 divisors, whose sum is σ = 333345792000. Its totient is φ = 26460794880.

The previous prime is 96946545023. The next prime is 96946545061. The reversal of 96946545024 is 42054564969.

96946545024 is a `hidden beast` number, since 9 + 6 + 94 + 6 + 545 + 0 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96946545023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19746282 + ... + 19751190.

It is an arithmetic number, because the mean of its divisors is an integer number (868088000).

Almost surely, 2^96946545024 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 96946545024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166672896000).

96946545024 is an abundant number, since it is smaller than the sum of its proper divisors (236399246976).

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

96946545024 is a wasteful number, since it uses less digits than its factorization.

96946545024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 96946545024 in words is "ninety-six billion, nine hundred forty-six million, five hundred forty-five thousand, twenty-four".