46116660000 has 240 divisors, whose sum is σ = 151623964800. Its totient is φ = 12269184000.

The previous prime is 46116659999. The next prime is 46116660011. The reversal of 46116660000 is 6661164.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 46116660000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43139466 + ... + 43140534.

It is an arithmetic number, because the mean of its divisors is an integer number (631766520).

Almost surely, 2^46116660000 is an apocalyptic number.

46116660000 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 46116660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75811982400).

46116660000 is an abundant number, since it is smaller than the sum of its proper divisors (105507304800).

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

46116660000 is a wasteful number, since it uses less digits than its factorization.

46116660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 46116660000 in words is "forty-six billion, one hundred sixteen million, six hundred sixty thousand".