46454446080 has 1008 divisors, whose sum is σ = 195934152960. Its totient is φ = 10534551552.

The previous prime is 46454446069. The next prime is 46454446133. The reversal of 46454446080 is 8064445464.

46454446080 is a `hidden beast` number, since 4 + 64 + 54 + 4 + 460 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 83 ways as a sum of consecutive naturals, for example, 365782977 + ... + 365783103.

It is an arithmetic number, because the mean of its divisors is an integer number (194379120).

Almost surely, 2^46454446080 is an apocalyptic number.

46454446080 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 46454446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97967076480).

46454446080 is an abundant number, since it is smaller than the sum of its proper divisors (149479706880).

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

46454446080 is an equidigital number, since it uses as much as digits as its factorization.

46454446080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 46454446080 in words is "forty-six billion, four hundred fifty-four million, four hundred forty-six thousand, eighty".