45743044480 has 384 divisors, whose sum is σ = 132525711360. Its totient is φ = 15037747200.

The previous prime is 45743044471. The next prime is 45743044499. The reversal of 45743044480 is 8444034754.

It is a super-2 number, since 2×45743044480² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205125649 + ... + 205125871.

It is an arithmetic number, because the mean of its divisors is an integer number (345119040).

Almost surely, 2^45743044480 is an apocalyptic number.

45743044480 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 45743044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66262855680).

45743044480 is an abundant number, since it is smaller than the sum of its proper divisors (86782666880).

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

45743044480 is a wasteful number, since it uses less digits than its factorization.

45743044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 43.

The spelling of 45743044480 in words is "forty-five billion, seven hundred forty-three million, forty-four thousand, four hundred eighty".