45460465200 has 90 divisors (see below), whose sum is σ = 157760454644. Its totient is φ = 12122789760.

The previous prime is 45460465199. The next prime is 45460465201. The reversal of 45460465200 is 256406454.

45460465200 is a `hidden beast` number, since 45 + 4 + 604 + 6 + 5 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45460465199) and next prime (45460465201).

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×45460465200² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45460465201) 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 17 ways as a sum of consecutive naturals, for example, 6310354 + ... + 6317553.

Almost surely, 2^45460465200 is an apocalyptic number.

45460465200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45460465200 is an abundant number, since it is smaller than the sum of its proper divisors (112299989444).

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

45460465200 is a wasteful number, since it uses less digits than its factorization.

45460465200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12627931 (or 12627917 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 45460465200 in words is "forty-five billion, four hundred sixty million, four hundred sixty-five thousand, two hundred".