23198477414400 has 1248 divisors, whose sum is σ = 89948975040000. Its totient is φ = 5849378979840.

The previous prime is 23198477414389. The next prime is 23198477414447. The reversal of 23198477414400 is 441477489132.

23198477414400 is a `hidden beast` number, since 2 + 3 + 1 + 98 + 4 + 77 + 41 + 440 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5659543551 + ... + 5659547649.

Almost surely, 2^{23198477414400} is an apocalyptic number.

23198477414400 is a gapful number since it is divisible by the number (20) 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 23198477414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44974487520000).

23198477414400 is an abundant number, since it is smaller than the sum of its proper divisors (66750497625600).

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

23198477414400 is a wasteful number, since it uses less digits than its factorization.

23198477414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 23198477414400 in words is "twenty-three trillion, one hundred ninety-eight billion, four hundred seventy-seven million, four hundred fourteen thousand, four hundred".