45256355144 has 192 divisors, whose sum is σ = 118505425920. Its totient is φ = 15750028800.

The previous prime is 45256355117. The next prime is 45256355147. The reversal of 45256355144 is 44155365254.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 45256355095 and 45256355104.

It is not an unprimeable number, because it can be changed into a prime (45256355147) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2722442 + ... + 2739014.

It is an arithmetic number, because the mean of its divisors is an integer number (617215760).

Almost surely, 2^45256355144 is an apocalyptic number.

45256355144 is a gapful number since it is divisible by the number (44) 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 45256355144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59252712960).

45256355144 is an abundant number, since it is smaller than the sum of its proper divisors (73249070776).

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

45256355144 is a wasteful number, since it uses less digits than its factorization.

45256355144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16652 (or 16637 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 44.

The spelling of 45256355144 in words is "forty-five billion, two hundred fifty-six million, three hundred fifty-five thousand, one hundred forty-four".