3214332556512 has 288 divisors, whose sum is σ = 10632849647616. Its totient is φ = 832251171840.

The previous prime is 3214332556507. The next prime is 3214332556583. The reversal of 3214332556512 is 2156552334123.

It is a super-2 number, since 2×3214332556512² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25713553 + ... + 25838255.

It is an arithmetic number, because the mean of its divisors is an integer number (36919616832).

Almost surely, 2^{3214332556512} is an apocalyptic number.

3214332556512 is a gapful number since it is divisible by the number (32) 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 3214332556512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316424823808).

3214332556512 is an abundant number, since it is smaller than the sum of its proper divisors (7418517091104).

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

3214332556512 is a wasteful number, since it uses less digits than its factorization.

3214332556512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125062 (or 125043 counting only the distinct ones).

The product of its digits is 648000, while the sum is 42.

The spelling of 3214332556512 in words is "three trillion, two hundred fourteen billion, three hundred thirty-two million, five hundred fifty-six thousand, five hundred twelve".