45294391296 has 728 divisors, whose sum is σ = 170174119104. Its totient is φ = 11705057280.

The previous prime is 45294391279. The next prime is 45294391301. The reversal of 45294391296 is 69219349254.

45294391296 is a `hidden beast` number, since 4 + 529 + 4 + 3 + 91 + 29 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 229920670 + ... + 229920866.

Almost surely, 2^45294391296 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 45294391296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85087059552).

45294391296 is an abundant number, since it is smaller than the sum of its proper divisors (124879727808).

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

45294391296 is an equidigital number, since it uses as much as digits as its factorization.

45294391296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 220 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 45294391296 in words is "forty-five billion, two hundred ninety-four million, three hundred ninety-one thousand, two hundred ninety-six".