46616186880 has 1248 divisors, whose sum is σ = 193202755200. Its totient is φ = 10701766656.

The previous prime is 46616186879. The next prime is 46616186893. The reversal of 46616186880 is 8868161664.

46616186880 is a `hidden beast` number, since 4 + 6 + 616 + 18 + 6 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1607454706 + ... + 1607454734.

It is an arithmetic number, because the mean of its divisors is an integer number (154809900).

Almost surely, 2^46616186880 is an apocalyptic number.

46616186880 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 46616186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96601377600).

46616186880 is an abundant number, since it is smaller than the sum of its proper divisors (146586568320).

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

46616186880 is a wasteful number, since it uses less digits than its factorization.

46616186880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 46616186880 in words is "forty-six billion, six hundred sixteen million, one hundred eighty-six thousand, eight hundred eighty".