45359201160 has 576 divisors, whose sum is σ = 185059555200. Its totient is φ = 9432723456.

The previous prime is 45359201143. The next prime is 45359201177. The reversal of 45359201160 is 6110295354.

45359201160 is a `hidden beast` number, since 4 + 5 + 3 + 592 + 0 + 1 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (45359201143) and next prime (45359201177).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31088511 + ... + 31089969.

It is an arithmetic number, because the mean of its divisors is an integer number (321283950).

Almost surely, 2^45359201160 is an apocalyptic number.

45359201160 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 45359201160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92529777600).

45359201160 is an abundant number, since it is smaller than the sum of its proper divisors (139700354040).

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

45359201160 is a wasteful number, since it uses less digits than its factorization.

45359201160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 45359201160 in words is "forty-five billion, three hundred fifty-nine million, two hundred one thousand, one hundred sixty".