100094444955648 has 1152 divisors, whose sum is σ = 364158967536000. Its totient is φ = 26780003205120.

The previous prime is 100094444955607. The next prime is 100094444955653. The reversal of 100094444955648 is 846559444490001.

100094444955648 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 94 + 4 + 4 + 495 + 56 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4182964548 + ... + 4182988476.

It is an arithmetic number, because the mean of its divisors is an integer number (316110214875).

Almost surely, 2^{100094444955648} is an apocalyptic number.

100094444955648 is a gapful number since it is divisible by the number (18) 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 100094444955648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182079483768000).

100094444955648 is an abundant number, since it is smaller than the sum of its proper divisors (264064522580352).

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

100094444955648 is a wasteful number, since it uses less digits than its factorization.

100094444955648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24030 (or 23981 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 100094444955648 in words is "one hundred trillion, ninety-four billion, four hundred forty-four million, nine hundred fifty-five thousand, six hundred forty-eight".