612616610016 has 72 divisors (see below), whose sum is σ = 1750385191464. Its totient is φ = 203237717760.

The previous prime is 612616610003. The next prime is 612616610027. The reversal of 612616610016 is 610016616216.

It is a happy number.

612616610016 is a `hidden beast` number, since 6 + 1 + 26 + 1 + 6 + 610 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×612616610016² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 4979851 + ... + 5101386.

It is an arithmetic number, because the mean of its divisors is an integer number (24310905437).

Almost surely, 2^612616610016 is an apocalyptic number.

It is an amenable number.

612616610016 is an abundant number, since it is smaller than the sum of its proper divisors (1137768581448).

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

612616610016 is a wasteful number, since it uses less digits than its factorization.

612616610016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10081464 (or 10081453 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 612616610016 in words is "six hundred twelve billion, six hundred sixteen million, six hundred ten thousand, sixteen".