102019408616664 has 512 divisors, whose sum is σ = 356301130752000. Its totient is φ = 26274988915200.

The previous prime is 102019408616549. The next prime is 102019408616711. The reversal of 102019408616664 is 466616804910201.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 102019408616664.

It is a congruent number.

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, 1874881522 + ... + 1874935934.

It is an arithmetic number, because the mean of its divisors is an integer number (695900646000).

Almost surely, 2^{102019408616664} is an apocalyptic number.

102019408616664 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 102019408616664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178150565376000).

102019408616664 is an abundant number, since it is smaller than the sum of its proper divisors (254281722135336).

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

102019408616664 is a wasteful number, since it uses less digits than its factorization.

102019408616664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55396 (or 55386 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 102019408616664 in words is "one hundred two trillion, nineteen billion, four hundred eight million, six hundred sixteen thousand, six hundred sixty-four".