102654408864 has 576 divisors, whose sum is σ = 341713354752. Its totient is φ = 26824089600.

The previous prime is 102654408851. The next prime is 102654408869. The reversal of 102654408864 is 468804456201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (102654408869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425951784 + ... + 425952024.

It is an arithmetic number, because the mean of its divisors is an integer number (593252352).

Almost surely, 2^102654408864 is an apocalyptic number.

102654408864 is a gapful number since it is divisible by the number (14) 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 102654408864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170856677376).

102654408864 is an abundant number, since it is smaller than the sum of its proper divisors (239058945888).

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

102654408864 is a wasteful number, since it uses less digits than its factorization.

102654408864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 102654408864 in words is "one hundred two billion, six hundred fifty-four million, four hundred eight thousand, eight hundred sixty-four".