104576226451200 has 1296 divisors, whose sum is σ = 448871995353600. Its totient is φ = 22710121758720.

The previous prime is 104576226451189. The next prime is 104576226451217. The reversal of 104576226451200 is 2154622675401.

104576226451200 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 7 + 622 + 6 + 4 + 5 + 12 + 0 + 0 = 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1381728559 + ... + 1381804241.

Almost surely, 2^{104576226451200} is an apocalyptic number.

104576226451200 is a gapful number since it is divisible by the number (10) 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 104576226451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224435997676800).

104576226451200 is an abundant number, since it is smaller than the sum of its proper divisors (344295768902400).

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

104576226451200 is a wasteful number, since it uses less digits than its factorization.

104576226451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75894 (or 75872 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 104576226451200 in words is "one hundred four trillion, five hundred seventy-six billion, two hundred twenty-six million, four hundred fifty-one thousand, two hundred".