3123813482496 has 544 divisors, whose sum is σ = 10681300846080. Its totient is φ = 883801718784.

The previous prime is 3123813482459. The next prime is 3123813482519. The reversal of 3123813482496 is 6942843183213.

3123813482496 is a `hidden beast` number, since 3 + 12 + 3 + 8 + 134 + 8 + 2 + 496 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 1325333350 + ... + 1325335706.

Almost surely, 2^{3123813482496} is an apocalyptic number.

3123813482496 is a gapful number since it is divisible by the number (36) 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 3123813482496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340650423040).

3123813482496 is an abundant number, since it is smaller than the sum of its proper divisors (7557487363584).

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

3123813482496 is an equidigital number, since it uses as much as digits as its factorization.

3123813482496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2476 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 3123813482496 in words is "three trillion, one hundred twenty-three billion, eight hundred thirteen million, four hundred eighty-two thousand, four hundred ninety-six".