45117083531520 has 1152 divisors, whose sum is σ = 214963611770880. Its totient is φ = 8653819576320.

The previous prime is 45117083531491. The next prime is 45117083531551. The reversal of 45117083531520 is 2513538071154.

45117083531520 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 70 + 8 + 3 + 53 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 33942477 + ... + 35246643.

It is an arithmetic number, because the mean of its divisors is an integer number (186600357440).

Almost surely, 2^{45117083531520} is an apocalyptic number.

45117083531520 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 45117083531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107481805885440).

45117083531520 is an abundant number, since it is smaller than the sum of its proper divisors (169846528239360).

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

45117083531520 is a wasteful number, since it uses less digits than its factorization.

45117083531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304228 (or 1304208 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 45117083531520 in words is "forty-five trillion, one hundred seventeen billion, eighty-three million, five hundred thirty-one thousand, five hundred twenty".