3315136562496 has 448 divisors, whose sum is σ = 11319676542720. Its totient is φ = 940253184000.

The previous prime is 3315136562467. The next prime is 3315136562537. The reversal of 3315136562496 is 6942656315133.

3315136562496 is a `hidden beast` number, since 3 + 3 + 1 + 5 + 1 + 3 + 6 + 5 + 624 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58459276 + ... + 58515956.

It is an arithmetic number, because the mean of its divisors is an integer number (25267135140).

Almost surely, 2^{3315136562496} is an apocalyptic number.

3315136562496 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 3315136562496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659838271360).

3315136562496 is an abundant number, since it is smaller than the sum of its proper divisors (8004539980224).

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

3315136562496 is a wasteful number, since it uses less digits than its factorization.

3315136562496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56911 (or 56895 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The spelling of 3315136562496 in words is "three trillion, three hundred fifteen billion, one hundred thirty-six million, five hundred sixty-two thousand, four hundred ninety-six".