45615238456320 has 1408 divisors, whose sum is σ = 186690298798080. Its totient is φ = 10462534041600.

The previous prime is 45615238456273. The next prime is 45615238456339. The reversal of 45615238456320 is 2365483251654.

45615238456320 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 52 + 3 + 8 + 4 + 563 + 20 = 666.

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

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, 3085647649 + ... + 3085662431.

It is an arithmetic number, because the mean of its divisors is an integer number (132592541760).

Almost surely, 2^{45615238456320} is an apocalyptic number.

45615238456320 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 45615238456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93345149399040).

45615238456320 is an abundant number, since it is smaller than the sum of its proper divisors (141075060341760).

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

45615238456320 is a wasteful number, since it uses less digits than its factorization.

45615238456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14948 (or 14924 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 45615238456320 in words is "forty-five trillion, six hundred fifteen billion, two hundred thirty-eight million, four hundred fifty-six thousand, three hundred twenty".