4612816970944 has 504 divisors, whose sum is σ = 12235906805760. Its totient is φ = 1714717734912.

The previous prime is 4612816970941. The next prime is 4612816970953. The reversal of 4612816970944 is 4490796182164.

It is a super-2 number, since 2×4612816970944² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4612816970941) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1278849589 + ... + 1278853195.

Almost surely, 2^{4612816970944} 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 4612816970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6117953402880).

4612816970944 is an abundant number, since it is smaller than the sum of its proper divisors (7623089834816).

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

4612816970944 is a wasteful number, since it uses less digits than its factorization.

4612816970944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 4612816970944 in words is "four trillion, six hundred twelve billion, eight hundred sixteen million, nine hundred seventy thousand, nine hundred forty-four".