2013856146792 has 256 divisors, whose sum is σ = 6762553344000. Its totient is φ = 542830616064.

The previous prime is 2013856146749. The next prime is 2013856146823. The reversal of 2013856146792 is 2976416583102.

It is a happy number.

2013856146792 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 8 + 561 + 4 + 6 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2142009 + ... + 2935287.

It is an arithmetic number, because the mean of its divisors is an integer number (26416224000).

It is a 1-persistent number, because it is pandigital, but 2⋅2013856146792 = 4027712293584 is not.

Almost surely, 2^{2013856146792} 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 2013856146792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381276672000).

2013856146792 is an abundant number, since it is smaller than the sum of its proper divisors (4748697197208).

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

2013856146792 is a wasteful number, since it uses less digits than its factorization.

2013856146792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793397 (or 793387 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2013856146792 in words is "two trillion, thirteen billion, eight hundred fifty-six million, one hundred forty-six thousand, seven hundred ninety-two".