45724170000 has 100 divisors (see below), whose sum is σ = 147603814160. Its totient is φ = 12193104000.

The previous prime is 45724169987. The next prime is 45724170001. The reversal of 45724170000 is 7142754.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 45724170000.

It is not an unprimeable number, because it can be changed into a prime (45724170001) 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 19 ways as a sum of consecutive naturals, for example, 732070 + ... + 792069.

Almost surely, 2^45724170000 is an apocalyptic number.

45724170000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45724170000 is an abundant number, since it is smaller than the sum of its proper divisors (101879644160).

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

45724170000 is a wasteful number, since it uses less digits than its factorization.

45724170000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524170 (or 1524149 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The spelling of 45724170000 in words is "forty-five billion, seven hundred twenty-four million, one hundred seventy thousand".