45318934080 has 896 divisors, whose sum is σ = 189609984000. Its totient is φ = 9976061952.

The previous prime is 45318934039. The next prime is 45318934091. The reversal of 45318934080 is 8043981354.

45318934080 is a `hidden beast` number, since 4 + 53 + 189 + 340 + 80 = 666.

It is a super-2 number, since 2×45318934080² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 304153846 + ... + 304153994.

Almost surely, 2^45318934080 is an apocalyptic number.

45318934080 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 45318934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94804992000).

45318934080 is an abundant number, since it is smaller than the sum of its proper divisors (144291049920).

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

45318934080 is a wasteful number, since it uses less digits than its factorization.

45318934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 45318934080 in words is "forty-five billion, three hundred eighteen million, nine hundred thirty-four thousand, eighty".