102219116460408 has 48 divisors (see below), whose sum is σ = 276844480936920. Its totient is φ = 34072910755776.

The previous prime is 102219116460407. The next prime is 102219116460413. The reversal of 102219116460408 is 804064611912201.

102219116460408 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 191 + 16 + 46 + 0 + 408 = 666.

It is a Cunningham number, because it is equal to 10110347²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102219116460407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17693110 + ... + 22748282.

Almost surely, 2^{102219116460408} is an apocalyptic number.

102219116460408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102219116460408 is an abundant number, since it is smaller than the sum of its proper divisors (174625364476512).

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

102219116460408 is a wasteful number, since it uses less digits than its factorization.

102219116460408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336028 (or 5336021 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 102219116460408 in words is "one hundred two trillion, two hundred nineteen billion, one hundred sixteen million, four hundred sixty thousand, four hundred eight".