46566612960 has 384 divisors, whose sum is σ = 172643788800. Its totient is φ = 10545389568.

The previous prime is 46566612949. The next prime is 46566613013. The reversal of 46566612960 is 6921666564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18603069 + ... + 18605571.

It is an arithmetic number, because the mean of its divisors is an integer number (449593200).

Almost surely, 2^46566612960 is an apocalyptic number.

46566612960 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 46566612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86321894400).

46566612960 is an abundant number, since it is smaller than the sum of its proper divisors (126077175840).

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

46566612960 is a wasteful number, since it uses less digits than its factorization.

46566612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

It can be divided in two parts, 46566 and 612960, that added together give a triangular number (659526 = T₁₁₄₈).

The spelling of 46566612960 in words is "forty-six billion, five hundred sixty-six million, six hundred twelve thousand, nine hundred sixty".