96183464400 has 360 divisors, whose sum is σ = 362692778240. Its totient is φ = 23514624000.

The previous prime is 96183464393. The next prime is 96183464491. The reversal of 96183464400 is 446438169.

96183464400 is a `hidden beast` number, since 9 + 6 + 183 + 4 + 64 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2097720 + ... + 2143080.

Almost surely, 2^96183464400 is an apocalyptic number.

96183464400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96183464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181346389120).

96183464400 is an abundant number, since it is smaller than the sum of its proper divisors (266509313840).

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

96183464400 is a wasteful number, since it uses less digits than its factorization.

96183464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45435 (or 45421 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 96183464400 in words is "ninety-six billion, one hundred eighty-three million, four hundred sixty-four thousand, four hundred".