45310144000 has 240 divisors, whose sum is σ = 124209893808. Its totient is φ = 16473600000.

The previous prime is 45310143937. The next prime is 45310144043. The reversal of 45310144000 is 44101354.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7741075 + ... + 7746925.

Almost surely, 2^45310144000 is an apocalyptic number.

45310144000 is a gapful number since it is divisible by the number (40) 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 45310144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62104946904).

45310144000 is an abundant number, since it is smaller than the sum of its proper divisors (78899749808).

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

45310144000 is an equidigital number, since it uses as much as digits as its factorization.

45310144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 45310144000 its reverse (44101354), we get a palindrome (45354245354).

The spelling of 45310144000 in words is "forty-five billion, three hundred ten million, one hundred forty-four thousand".