46716016412160 has 960 divisors, whose sum is σ = 173485076244480. Its totient is φ = 12052118200320.

The previous prime is 46716016412041. The next prime is 46716016412183. The reversal of 46716016412160 is 6121461061764.

46716016412160 is a `hidden beast` number, since 4 + 6 + 7 + 1 + 60 + 16 + 412 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14058384259 + ... + 14058387581.

It is an arithmetic number, because the mean of its divisors is an integer number (180713621088).

Almost surely, 2^{46716016412160} is an apocalyptic number.

46716016412160 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 46716016412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86742538122240).

46716016412160 is an abundant number, since it is smaller than the sum of its proper divisors (126769059832320).

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

46716016412160 is an frugal number, since it uses more digits than its factorization.

46716016412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 46716016412160 in words is "forty-six trillion, seven hundred sixteen billion, sixteen million, four hundred twelve thousand, one hundred sixty".