46516973035680 has 1728 divisors, whose sum is σ = 201032384716800. Its totient is φ = 9729097297920.

The previous prime is 46516973035607. The next prime is 46516973035681. The reversal of 46516973035680 is 8653037961564.

46516973035680 is a `hidden beast` number, since 4 + 6 + 5 + 1 + 69 + 7 + 3 + 0 + 3 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (46516973035681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35699901909 + ... + 35699903211.

It is an arithmetic number, because the mean of its divisors is an integer number (116338185600).

Almost surely, 2^{46516973035680} is an apocalyptic number.

46516973035680 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 46516973035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100516192358400).

46516973035680 is an abundant number, since it is smaller than the sum of its proper divisors (154515411681120).

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

46516973035680 is a wasteful number, since it uses less digits than its factorization.

46516973035680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 46516973035680 in words is "forty-six trillion, five hundred sixteen billion, nine hundred seventy-three million, thirty-five thousand, six hundred eighty".