45392841312 has 768 divisors, whose sum is σ = 162407669760. Its totient is φ = 10765467648.

The previous prime is 45392841301. The next prime is 45392841337. The reversal of 45392841312 is 21314829354.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 574592889 + ... + 574592967.

It is an arithmetic number, because the mean of its divisors is an integer number (211468320).

Almost surely, 2^45392841312 is an apocalyptic number.

45392841312 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 45392841312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81203834880).

45392841312 is an abundant number, since it is smaller than the sum of its proper divisors (117014828448).

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

45392841312 is a wasteful number, since it uses less digits than its factorization.

45392841312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The spelling of 45392841312 in words is "forty-five billion, three hundred ninety-two million, eight hundred forty-one thousand, three hundred twelve".