45484830720 has 520 divisors, whose sum is σ = 186392299104. Its totient is φ = 10393878528.

The previous prime is 45484830719. The next prime is 45484830733. The reversal of 45484830720 is 2703848454.

It is a happy number.

45484830720 is a `hidden beast` number, since 4 + 548 + 4 + 8 + 30 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11610202 + ... + 11614118.

Almost surely, 2^45484830720 is an apocalyptic number.

45484830720 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 45484830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93196149552).

45484830720 is an abundant number, since it is smaller than the sum of its proper divisors (140907468384).

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

45484830720 is an equidigital number, since it uses as much as digits as its factorization.

45484830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 45484830720 in words is "forty-five billion, four hundred eighty-four million, eight hundred thirty thousand, seven hundred twenty".