46187825328 has 240 divisors, whose sum is σ = 136732677120. Its totient is φ = 14533779456.

The previous prime is 46187825303. The next prime is 46187825377. The reversal of 46187825328 is 82352878164.

46187825328 is a `hidden beast` number, since 461 + 87 + 82 + 5 + 3 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38715100 + ... + 38716292.

It is an arithmetic number, because the mean of its divisors is an integer number (569719488).

Almost surely, 2^46187825328 is an apocalyptic number.

46187825328 is a gapful number since it is divisible by the number (48) 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 46187825328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68366338560).

46187825328 is an abundant number, since it is smaller than the sum of its proper divisors (90544851792).

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

46187825328 is a wasteful number, since it uses less digits than its factorization.

46187825328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1427 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 46187825328 in words is "forty-six billion, one hundred eighty-seven million, eight hundred twenty-five thousand, three hundred twenty-eight".