45670394880 has 396 divisors, whose sum is σ = 173961854976. Its totient is φ = 11070259200.

The previous prime is 45670394879. The next prime is 45670394893. The reversal of 45670394880 is 8849307654.

45670394880 is a `hidden beast` number, since 4 + 567 + 0 + 39 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 35 ways as a sum of consecutive naturals, for example, 5571585 + ... + 5579775.

Almost surely, 2^45670394880 is an apocalyptic number.

45670394880 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 45670394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86980927488).

45670394880 is an abundant number, since it is smaller than the sum of its proper divisors (128291460096).

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

45670394880 is a wasteful number, since it uses less digits than its factorization.

45670394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 45670394880 in words is "forty-five billion, six hundred seventy million, three hundred ninety-four thousand, eight hundred eighty".