923221761638400 has 5940 divisors, whose sum is σ = 4307783528661480. Its totient is φ = 195039697305600.

The previous prime is 923221761638279. The next prime is 923221761638411. The reversal of 923221761638400 is 4836167122329.

923221761638400 is a `hidden beast` number, since 9 + 2 + 3 + 2 + 2 + 1 + 76 + 163 + 8 + 400 = 666.

It is a super-3 number, since 3×923221761638400³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 395 ways as a sum of consecutive naturals, for example, 22517603942380 + ... + 22517603942420.

Almost surely, 2^{923221761638400} is an apocalyptic number.

923221761638400 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 923221761638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153891764330740).

923221761638400 is an abundant number, since it is smaller than the sum of its proper divisors (3384561767023080).

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

923221761638400 is an frugal number, since it uses more digits than its factorization.

923221761638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 923221761638400 in words is "nine hundred twenty-three trillion, two hundred twenty-one billion, seven hundred sixty-one million, six hundred thirty-eight thousand, four hundred".