45047761920 has 792 divisors, whose sum is σ = 184785932448. Its totient is φ = 10115481600.

The previous prime is 45047761883. The next prime is 45047761973. The reversal of 45047761920 is 2916774054.

45047761920 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 7 + 7 + 619 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160312180 + ... + 160312460.

Almost surely, 2^45047761920 is an apocalyptic number.

45047761920 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 45047761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92392966224).

45047761920 is an abundant number, since it is smaller than the sum of its proper divisors (139738170528).

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

45047761920 is a wasteful number, since it uses less digits than its factorization.

45047761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 45047761920 in words is "forty-five billion, forty-seven million, seven hundred sixty-one thousand, nine hundred twenty".