4612611714560 has 160 divisors (see below), whose sum is σ = 11156765064192. Its totient is φ = 1828837785600.

The previous prime is 4612611714553. The next prime is 4612611714679. The reversal of 4612611714560 is 654171162164.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×4612611714560² (a number of 26 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 390463214 + ... + 390475026.

Almost surely, 2^{4612611714560} is an apocalyptic number.

4612611714560 is a gapful number since it is divisible by the number (40) 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 4612611714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578382532096).

4612611714560 is an abundant number, since it is smaller than the sum of its proper divisors (6544153349632).

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

4612611714560 is a wasteful number, since it uses less digits than its factorization.

4612611714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164 (or 13148 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 4612611714560 in words is "four trillion, six hundred twelve billion, six hundred eleven million, seven hundred fourteen thousand, five hundred sixty".