3116583214920 has 512 divisors, whose sum is σ = 12641771520000. Its totient is φ = 681387759360.

The previous prime is 3116583214907. The next prime is 3116583214933. The reversal of 3116583214920 is 294123856113.

3116583214920 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 583 + 2 + 1 + 49 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3116583214907) and next prime (3116583214933).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8337225 + ... + 8703015.

It is an arithmetic number, because the mean of its divisors is an integer number (24690960000).

Almost surely, 2^{3116583214920} is an apocalyptic number.

3116583214920 is a gapful number since it is divisible by the number (30) 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 3116583214920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320885760000).

3116583214920 is an abundant number, since it is smaller than the sum of its proper divisors (9525188305080).

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

3116583214920 is a wasteful number, since it uses less digits than its factorization.

3116583214920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365855 (or 365831 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 3116583214920 in words is "three trillion, one hundred sixteen billion, five hundred eighty-three million, two hundred fourteen thousand, nine hundred twenty".