45185716408320 has 364 divisors, whose sum is σ = 162574405081716. Its totient is φ = 12049520394240.

The previous prime is 45185716408309. The next prime is 45185716408423. The reversal of 45185716408320 is 2380461758154.

It is a happy number.

45185716408320 is a `hidden beast` number, since 4 + 5 + 1 + 8 + 571 + 6 + 40 + 8 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30176476729344 + 15009239678976 = 5493312^2 + 3874176^2 .

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 27 ways as a sum of consecutive naturals, for example, 13416660 + ... + 16443180.

Almost surely, 2^{45185716408320} is an apocalyptic number.

45185716408320 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 45185716408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81287202540858).

45185716408320 is an abundant number, since it is smaller than the sum of its proper divisors (117388688673396).

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

45185716408320 is an frugal number, since it uses more digits than its factorization.

45185716408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026568 (or 3026531 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 45185716408320 in words is "forty-five trillion, one hundred eighty-five billion, seven hundred sixteen million, four hundred eight thousand, three hundred twenty".