3149917352064 has 768 divisors, whose sum is σ = 11077807104000. Its totient is φ = 872343281664.

The previous prime is 3149917352041. The next prime is 3149917352077. The reversal of 3149917352064 is 4602537199413.

3149917352064 is a `hidden beast` number, since 3 + 1 + 49 + 9 + 1 + 73 + 520 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3149917352064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 937752817 + ... + 937756175.

It is an arithmetic number, because the mean of its divisors is an integer number (14424228000).

Almost surely, 2^{3149917352064} 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 3149917352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538903552000).

3149917352064 is an abundant number, since it is smaller than the sum of its proper divisors (7927889751936).

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

3149917352064 is an equidigital number, since it uses as much as digits as its factorization.

3149917352064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

It can be divided in two parts, 3149917 and 352064, that added together give a triangular number (3501981 = T₂₆₄₆).

The spelling of 3149917352064 in words is "three trillion, one hundred forty-nine billion, nine hundred seventeen million, three hundred fifty-two thousand, sixty-four".