45957320480 has 24 divisors (see below), whose sum is σ = 108574170012. Its totient is φ = 18382928128.

The previous prime is 45957320477. The next prime is 45957320483. The reversal of 45957320480 is 8402375954.

It is an interprime number because it is at equal distance from previous prime (45957320477) and next prime (45957320483).

It can be written as a sum of positive squares in 2 ways, for example, as 45934776976 + 22543504 = 214324^2 + 4748^2 .

It is a super-2 number, since 2×45957320480² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45957320483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143616467 + ... + 143616786.

Almost surely, 2^45957320480 is an apocalyptic number.

45957320480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45957320480 is an abundant number, since it is smaller than the sum of its proper divisors (62616849532).

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

45957320480 is a wasteful number, since it uses less digits than its factorization.

45957320480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287233268 (or 287233260 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 45957320480 in words is "forty-five billion, nine hundred fifty-seven million, three hundred twenty thousand, four hundred eighty".