3133818574848 has 768 divisors, whose sum is σ = 10235523916800. Its totient is φ = 953341083648.

The previous prime is 3133818574811. The next prime is 3133818574961. The reversal of 3133818574848 is 8484758183313.

It is a happy number.

3133818574848 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 8 + 18 + 574 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 6230255365 + ... + 6230255867.

It is an arithmetic number, because the mean of its divisors is an integer number (13327505100).

Almost surely, 2^{3133818574848} 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 3133818574848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117761958400).

3133818574848 is an abundant number, since it is smaller than the sum of its proper divisors (7101705341952).

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

3133818574848 is an equidigital number, since it uses as much as digits as its factorization.

3133818574848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 628 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 3133818574848 in words is "three trillion, one hundred thirty-three billion, eight hundred eighteen million, five hundred seventy-four thousand, eight hundred forty-eight".