45048044160 has 768 divisors, whose sum is σ = 188122435200. Its totient is φ = 10156769280.

The previous prime is 45048044131. The next prime is 45048044203. The reversal of 45048044160 is 6144084054.

It is a happy number.

45048044160 is a `hidden beast` number, since 450 + 4 + 8 + 0 + 44 + 160 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70277440 + ... + 70278080.

Almost surely, 2^45048044160 is an apocalyptic number.

45048044160 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 45048044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94061217600).

45048044160 is an abundant number, since it is smaller than the sum of its proper divisors (143074391040).

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

45048044160 is a wasteful number, since it uses less digits than its factorization.

45048044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 45048044160 in words is "forty-five billion, forty-eight million, forty-four thousand, one hundred sixty".