13630445000634 has 128 divisors (see below), whose sum is σ = 35899885486080. Its totient is φ = 3346491153600.

The previous prime is 13630445000633. The next prime is 13630445000639. The reversal of 13630445000634 is 43600054403631.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13630445000592 and 13630445000601.

It is not an unprimeable number, because it can be changed into a prime (13630445000633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10450594 + ... + 11682285.

It is an arithmetic number, because the mean of its divisors is an integer number (280467855360).

Almost surely, 2^{13630445000634} is an apocalyptic number.

13630445000634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13630445000634 is an abundant number, since it is smaller than the sum of its proper divisors (22269440485446).

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

13630445000634 is a wasteful number, since it uses less digits than its factorization.

13630445000634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22132976.

The product of its (nonzero) digits is 311040, while the sum is 39.

The spelling of 13630445000634 in words is "thirteen trillion, six hundred thirty billion, four hundred forty-five million, six hundred thirty-four", and thus it is an aban number.