45615214748160 has 560 divisors, whose sum is σ = 164047495031640. Its totient is φ = 12159006474240.

The previous prime is 45615214748087. The next prime is 45615214748167. The reversal of 45615214748160 is 6184741251654.

45615214748160 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 5 + 2 + 1 + 474 + 8 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15119903418624 + 30495311329536 = 3888432^2 + 5522256^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 45615214748097 and 45615214748106.

It is not an unprimeable number, because it can be changed into a prime (45615214748167) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7332453850 + ... + 7332460070.

Almost surely, 2^{45615214748160} is an apocalyptic number.

45615214748160 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 45615214748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82023747515820).

45615214748160 is an abundant number, since it is smaller than the sum of its proper divisors (118432280283480).

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

45615214748160 is an frugal number, since it uses more digits than its factorization.

45615214748160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10191 (or 10160 counting only the distinct ones).

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

The spelling of 45615214748160 in words is "forty-five trillion, six hundred fifteen billion, two hundred fourteen million, seven hundred forty-eight thousand, one hundred sixty".