10645636103536 has 160 divisors (see below), whose sum is σ = 25104857472000. Its totient is φ = 4363093405440.

The previous prime is 10645636103489. The next prime is 10645636103537. The reversal of 10645636103536 is 63530163654601.

It is a happy number.

It is a super-2 number, since 2×10645636103536² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 10645636103536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645636103537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037682375 + ... + 1037692633.

It is an arithmetic number, because the mean of its divisors is an integer number (156905359200).

Almost surely, 2^{10645636103536} is an apocalyptic number.

10645636103536 is a gapful number since it is divisible by the number (16) 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 10645636103536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12552428736000).

10645636103536 is an abundant number, since it is smaller than the sum of its proper divisors (14459221368464).

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

10645636103536 is a wasteful number, since it uses less digits than its factorization.

10645636103536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18532 (or 18512 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 49.

The spelling of 10645636103536 in words is "ten trillion, six hundred forty-five billion, six hundred thirty-six million, one hundred three thousand, five hundred thirty-six".