45908160480 has 768 divisors, whose sum is σ = 199216281600. Its totient is φ = 9672099840.

The previous prime is 45908160479. The next prime is 45908160481. The reversal of 45908160480 is 8406180954.

45908160480 is a `hidden beast` number, since 4 + 5 + 9 + 0 + 8 + 160 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (45908160479) and next prime (45908160481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45908160481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66436935 + ... + 66437625.

It is an arithmetic number, because the mean of its divisors is an integer number (259396200).

Almost surely, 2^45908160480 is an apocalyptic number.

45908160480 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 45908160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99608140800).

45908160480 is an abundant number, since it is smaller than the sum of its proper divisors (153308121120).

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

45908160480 is a wasteful number, since it uses less digits than its factorization.

45908160480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 45908160480 in words is "forty-five billion, nine hundred eight million, one hundred sixty thousand, four hundred eighty".