13673603889792 has 1536 divisors, whose sum is σ = 55384852377600. Its totient is φ = 3271191920640.

The previous prime is 13673603889791. The next prime is 13673603889817. The reversal of 13673603889792 is 29798830637631.

13673603889792 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 3 + 603 + 8 + 8 + 9 + 7 + 9 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13673603889792.

It is not an unprimeable number, because it can be changed into a prime (13673603889791) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1488359823 + ... + 1488369009.

It is an arithmetic number, because the mean of its divisors is an integer number (36057846600).

Almost surely, 2^{13673603889792} is an apocalyptic number.

13673603889792 is a gapful number since it is divisible by the number (12) 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 13673603889792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27692426188800).

13673603889792 is an abundant number, since it is smaller than the sum of its proper divisors (41711248487808).

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

13673603889792 is a wasteful number, since it uses less digits than its factorization.

13673603889792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9299 (or 9274 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 13673603889792 in words is "thirteen trillion, six hundred seventy-three billion, six hundred three million, eight hundred eighty-nine thousand, seven hundred ninety-two".