45001827792 has 120 divisors (see below), whose sum is σ = 129457756584. Its totient is φ = 14582633472.

The previous prime is 45001827791. The next prime is 45001827799. The reversal of 45001827792 is 29772810054.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33239123856 + 11762703936 = 182316^2 + 108456^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45001827791) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7738678 + ... + 7744490.

Almost surely, 2^45001827792 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 45001827792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64728878292).

45001827792 is an abundant number, since it is smaller than the sum of its proper divisors (84455928792).

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

45001827792 is a wasteful number, since it uses less digits than its factorization.

45001827792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7317 (or 7308 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 45001827792 in words is "forty-five billion, one million, eight hundred twenty-seven thousand, seven hundred ninety-two".