45715008044160 has 2304 divisors, whose sum is σ = 205696352534400. Its totient is φ = 9616540631040.

The previous prime is 45715008044149. The next prime is 45715008044171. The reversal of 45715008044160 is 6144080051754.

45715008044160 is a `hidden beast` number, since 4 + 5 + 7 + 1 + 500 + 80 + 4 + 4 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (45715008044149) and next prime (45715008044171).

It is a super-2 number, since 2×45715008044160² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 56368690155 + ... + 56368690965.

Almost surely, 2^{45715008044160} is an apocalyptic number.

45715008044160 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 45715008044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102848176267200).

45715008044160 is an abundant number, since it is smaller than the sum of its proper divisors (159981344490240).

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

45715008044160 is a wasteful number, since it uses less digits than its factorization.

45715008044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 45715008044160 in words is "forty-five trillion, seven hundred fifteen billion, eight million, forty-four thousand, one hundred sixty".