100190400649416 has 768 divisors, whose sum is σ = 363258730598400. Its totient is φ = 25103559398400.

The previous prime is 100190400649399. The next prime is 100190400649481. The reversal of 100190400649416 is 614946004091001.

100190400649416 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 90 + 400 + 64 + 94 + 16 = 666.

It is a super-2 number, since 2×100190400649416² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5126654541 + ... + 5126674083.

It is an arithmetic number, because the mean of its divisors is an integer number (472993138800).

Almost surely, 2^{100190400649416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100190400649416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181629365299200).

100190400649416 is an abundant number, since it is smaller than the sum of its proper divisors (263068329948984).

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

100190400649416 is a wasteful number, since it uses less digits than its factorization.

100190400649416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20792 (or 20776 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 100190400649416 in words is "one hundred trillion, one hundred ninety billion, four hundred million, six hundred forty-nine thousand, four hundred sixteen".