45184789440 has 896 divisors, whose sum is σ = 189219840000. Its totient is φ = 10144382976.

The previous prime is 45184789427. The next prime is 45184789457. The reversal of 45184789440 is 4498748154.

45184789440 is a `hidden beast` number, since 4 + 51 + 84 + 78 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 234117984 + ... + 234118176.

Almost surely, 2^45184789440 is an apocalyptic number.

45184789440 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 45184789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94609920000).

45184789440 is an abundant number, since it is smaller than the sum of its proper divisors (144035050560).

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

45184789440 is a wasteful number, since it uses less digits than its factorization.

45184789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 45184789440 in words is "forty-five billion, one hundred eighty-four million, seven hundred eighty-nine thousand, four hundred forty".