45011504772 has 144 divisors (see below), whose sum is σ = 125999975920. Its totient is φ = 13458576384.

The previous prime is 45011504761. The next prime is 45011504789. The reversal of 45011504772 is 27740511054.

It can be written as a sum of positive squares in 8 ways, for example, as 15211768896 + 29799735876 = 123336^2 + 172626^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25159254 + ... + 25161042.

Almost surely, 2^45011504772 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 45011504772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62999987960).

45011504772 is an abundant number, since it is smaller than the sum of its proper divisors (80988471148).

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

45011504772 is a wasteful number, since it uses less digits than its factorization.

45011504772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 45011504772 in words is "forty-five billion, eleven million, five hundred four thousand, seven hundred seventy-two".