45124283520 has 512 divisors, whose sum is σ = 163880870400. Its totient is φ = 11878244352.

The previous prime is 45124283447. The next prime is 45124283537. The reversal of 45124283520 is 2538242154.

45124283520 is a `hidden beast` number, since 4 + 5 + 12 + 42 + 83 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144166884 + ... + 144167196.

It is an arithmetic number, because the mean of its divisors is an integer number (320079825).

Almost surely, 2^45124283520 is an apocalyptic number.

45124283520 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 45124283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81940435200).

45124283520 is an abundant number, since it is smaller than the sum of its proper divisors (118756586880).

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

45124283520 is an equidigital number, since it uses as much as digits as its factorization.

45124283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 45124283520 in words is "forty-five billion, one hundred twenty-four million, two hundred eighty-three thousand, five hundred twenty".