45728863488 has 648 divisors, whose sum is σ = 174700483776. Its totient is φ = 11354112000.

The previous prime is 45728863487. The next prime is 45728863541. The reversal of 45728863488 is 88436882754.

45728863488 is a `hidden beast` number, since 4 + 5 + 7 + 288 + 6 + 348 + 8 = 666.

It is a super-2 number, since 2×45728863488² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45728863483) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28561888 + ... + 28563488.

It is an arithmetic number, because the mean of its divisors is an integer number (269599512).

Almost surely, 2^45728863488 is an apocalyptic number.

45728863488 is a gapful number since it is divisible by the number (48) 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 45728863488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87350241888).

45728863488 is an abundant number, since it is smaller than the sum of its proper divisors (128971620288).

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

45728863488 is a wasteful number, since it uses less digits than its factorization.

45728863488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1647 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 45728863488 in words is "forty-five billion, seven hundred twenty-eight million, eight hundred sixty-three thousand, four hundred eighty-eight".