1048504013136 has 160 divisors (see below), whose sum is σ = 3174878044800. Its totient is φ = 330387102720.

The previous prime is 1048504013099. The next prime is 1048504013149. The reversal of 1048504013136 is 6313104058401.

1048504013136 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 504 + 0 + 13 + 136 = 666.

1048504013136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1048504013136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3645340 + ... + 3922436.

It is an arithmetic number, because the mean of its divisors is an integer number (19842987780).

Almost surely, 2^{1048504013136} is an apocalyptic number.

1048504013136 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 1048504013136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587439022400).

1048504013136 is an abundant number, since it is smaller than the sum of its proper divisors (2126374031664).

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

1048504013136 is a wasteful number, since it uses less digits than its factorization.

1048504013136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277594 (or 277582 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1048504013136 in words is "one trillion, forty-eight billion, five hundred four million, thirteen thousand, one hundred thirty-six".