46116677376 has 720 divisors, whose sum is σ = 181634745600. Its totient is φ = 11267112960.

The previous prime is 46116677353. The next prime is 46116677407. The reversal of 46116677376 is 67377661164.

46116677376 is a `hidden beast` number, since 46 + 1 + 166 + 77 + 376 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27142575 + ... + 27144273.

It is an arithmetic number, because the mean of its divisors is an integer number (252270480).

Almost surely, 2^46116677376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46116677376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90817372800).

46116677376 is an abundant number, since it is smaller than the sum of its proper divisors (135518068224).

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

46116677376 is a wasteful number, since it uses less digits than its factorization.

46116677376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1739 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 46116677376 in words is "forty-six billion, one hundred sixteen million, six hundred seventy-seven thousand, three hundred seventy-six".