102979483536384 has 1408 divisors, whose sum is σ = 399076066529280. Its totient is φ = 25487658713088.

The previous prime is 102979483536329. The next prime is 102979483536427. The reversal of 102979483536384 is 483635384979201.

It is a happy number.

102979483536384 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 7 + 9 + 4 + 8 + 3 + 536 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3066948204 + ... + 3066981780.

It is a 1-persistent number, because it is pandigital, but 2⋅102979483536384 = 205958967072768 is not.

Almost surely, 2^{102979483536384} is an apocalyptic number.

102979483536384 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 102979483536384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199538033264640).

102979483536384 is an abundant number, since it is smaller than the sum of its proper divisors (296096582992896).

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

102979483536384 is a wasteful number, since it uses less digits than its factorization.

102979483536384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33702 (or 33678 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 102979483536384 in words is "one hundred two trillion, nine hundred seventy-nine billion, four hundred eighty-three million, five hundred thirty-six thousand, three hundred eighty-four".