45291405312 has 304 divisors, whose sum is σ = 137572908800. Its totient is φ = 14906032128.

The previous prime is 45291405281. The next prime is 45291405319. The reversal of 45291405312 is 21350419254.

45291405312 is a `hidden beast` number, since 452 + 9 + 140 + 53 + 12 = 666.

It is a super-2 number, since 2×45291405312² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45291405319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573308889 + ... + 573308967.

Almost surely, 2^45291405312 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 45291405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68786454400).

45291405312 is an abundant number, since it is smaller than the sum of its proper divisors (92281503488).

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

45291405312 is an frugal number, since it uses more digits than its factorization.

45291405312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 45291405312 in words is "forty-five billion, two hundred ninety-one million, four hundred five thousand, three hundred twelve".