46181376000 has 336 divisors, whose sum is σ = 166522316688. Its totient is φ = 12312576000.

The previous prime is 46181375983. The next prime is 46181376011. The reversal of 46181376000 is 67318164.

46181376000 is a `hidden beast` number, since 4 + 6 + 18 + 1 + 37 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9213495 + ... + 9218505.

It is an arithmetic number, because the mean of its divisors is an integer number (495602133).

Almost surely, 2^46181376000 is an apocalyptic number.

46181376000 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 46181376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83261158344).

46181376000 is an abundant number, since it is smaller than the sum of its proper divisors (120340940688).

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

46181376000 is an equidigital number, since it uses as much as digits as its factorization.

46181376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 46181376000 in words is "forty-six billion, one hundred eighty-one million, three hundred seventy-six thousand".