104692249094400 has 648 divisors, whose sum is σ = 423448785605664. Its totient is φ = 25379935027200.

The previous prime is 104692249094399. The next prime is 104692249094423. The reversal of 104692249094400 is 4490942296401.

104692249094400 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 9 + 22 + 490 + 94 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×104692249094400² (a number of 29 digits) contains 22 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 71 ways as a sum of consecutive naturals, for example, 14047312 + ... + 20167088.

Almost surely, 2^{104692249094400} is an apocalyptic number.

104692249094400 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 104692249094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211724392802832).

104692249094400 is an abundant number, since it is smaller than the sum of its proper divisors (318756536511264).

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

104692249094400 is an equidigital number, since it uses as much as digits as its factorization.

104692249094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119829 (or 6119798 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 104692249094400 in words is "one hundred four trillion, six hundred ninety-two billion, two hundred forty-nine million, ninety-four thousand, four hundred".