96923174400 has 1680 divisors, whose sum is σ = 419275289664. Its totient is φ = 21976842240.

The previous prime is 96923174339. The next prime is 96923174423. The reversal of 96923174400 is 447132969.

It is a happy number.

96923174400 is a `hidden beast` number, since 9 + 6 + 9 + 231 + 7 + 4 + 400 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2062195177 + ... + 2062195223.

Almost surely, 2^96923174400 is an apocalyptic number.

96923174400 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 96923174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209637644832).

96923174400 is an abundant number, since it is smaller than the sum of its proper divisors (322352115264).

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

96923174400 is a wasteful number, since it uses less digits than its factorization.

96923174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 96923174400 in words is "ninety-six billion, nine hundred twenty-three million, one hundred seventy-four thousand, four hundred".