45405868032 has 780 divisors, whose sum is σ = 167024974480. Its totient is φ = 12290310144.

The previous prime is 45405867973. The next prime is 45405868037. The reversal of 45405868032 is 23086850454.

It is not an unprimeable number, because it can be changed into a prime (45405868037) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 2389782519 + ... + 2389782537.

Almost surely, 2^45405868032 is an apocalyptic number.

45405868032 is a gapful number since it is divisible by the number (42) 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 45405868032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83512487240).

45405868032 is an abundant number, since it is smaller than the sum of its proper divisors (121619106448).

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

45405868032 is an frugal number, since it uses more digits than its factorization.

45405868032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 45405868032 in words is "forty-five billion, four hundred five million, eight hundred sixty-eight thousand, thirty-two".