101645388864 has 140 divisors (see below), whose sum is σ = 309452839564. Its totient is φ = 32966009856.

The previous prime is 101645388791. The next prime is 101645388967. The reversal of 101645388864 is 468883546101.

101645388864 is a `hidden beast` number, since 10 + 16 + 4 + 538 + 8 + 86 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93151923264 + 8493465600 = 305208^2 + 92160^2 .

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 101645388864.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73159 + ... + 456774.

Almost surely, 2^101645388864 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 101645388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154726419782).

101645388864 is an abundant number, since it is smaller than the sum of its proper divisors (207807450700).

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

101645388864 is an equidigital number, since it uses as much as digits as its factorization.

101645388864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529994 (or 529975 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 101645388864 in words is "one hundred one billion, six hundred forty-five million, three hundred eighty-eight thousand, eight hundred sixty-four".