45690441480 has 96 divisors (see below), whose sum is σ = 148595405400. Its totient is φ = 12175792128.

The previous prime is 45690441469. The next prime is 45690441481. The reversal of 45690441480 is 8414409654.

45690441480 is a `hidden beast` number, since 4 + 569 + 0 + 4 + 4 + 1 + 4 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34326455076 + 11363986404 = 185274^2 + 106602^2 .

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

It is not an unprimeable number, because it can be changed into a prime (45690441481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493422 + ... + 578658.

Almost surely, 2^45690441480 is an apocalyptic number.

45690441480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45690441480 is an abundant number, since it is smaller than the sum of its proper divisors (102904963920).

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

45690441480 is a wasteful number, since it uses less digits than its factorization.

45690441480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86743 (or 86736 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 45690441480 in words is "forty-five billion, six hundred ninety million, four hundred forty-one thousand, four hundred eighty".