45094914144 has 144 divisors (see below), whose sum is σ = 147130427808. Its totient is φ = 12833980416.

The previous prime is 45094914103. The next prime is 45094914197. The reversal of 45094914144 is 44141949054.

45094914144 is a `hidden beast` number, since 450 + 9 + 49 + 14 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 45094914144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474594 + ... + 561630.

It is an arithmetic number, because the mean of its divisors is an integer number (1021739082).

Almost surely, 2^45094914144 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 45094914144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73565213904).

45094914144 is an abundant number, since it is smaller than the sum of its proper divisors (102035513664).

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

45094914144 is a wasteful number, since it uses less digits than its factorization.

45094914144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87317 (or 87306 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 45094914144 in words is "forty-five billion, ninety-four million, nine hundred fourteen thousand, one hundred forty-four".