100172044804608 has 2240 divisors, whose sum is σ = 362040885043200. Its totient is φ = 27653197824000.

The previous prime is 100172044804553. The next prime is 100172044804609. The reversal of 100172044804608 is 806408440271001.

100172044804608 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 72 + 0 + 44 + 80 + 460 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (100172044804609) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 788756258241 + ... + 788756258367.

Almost surely, 2^{100172044804608} is an apocalyptic number.

100172044804608 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 100172044804608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181020442521600).

100172044804608 is an abundant number, since it is smaller than the sum of its proper divisors (261868840238592).

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

100172044804608 is an frugal number, since it uses more digits than its factorization.

100172044804608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 100172044804608 in words is "one hundred trillion, one hundred seventy-two billion, forty-four million, eight hundred four thousand, six hundred eight".