45086346360 has 448 divisors, whose sum is σ = 166810337280. Its totient is φ = 10871781120.

The previous prime is 45086346317. The next prime is 45086346377. The reversal of 45086346360 is 6364368054.

45086346360 is a `hidden beast` number, since 4 + 5 + 0 + 8 + 6 + 3 + 4 + 636 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 117718729 + ... + 117719111.

Almost surely, 2^45086346360 is an apocalyptic number.

45086346360 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 45086346360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83405168640).

45086346360 is an abundant number, since it is smaller than the sum of its proper divisors (121723990920).

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

45086346360 is a wasteful number, since it uses less digits than its factorization.

45086346360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 45086346360 in words is "forty-five billion, eighty-six million, three hundred forty-six thousand, three hundred sixty".