45142980192 has 72 divisors (see below), whose sum is σ = 128408893704. Its totient is φ = 15043728384.

The previous prime is 45142980167. The next prime is 45142980193. The reversal of 45142980192 is 29108924154.

It is a happy number.

45142980192 is a `hidden beast` number, since 451 + 4 + 2 + 9 + 8 + 0 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45142980193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1212283 + ... + 1248965.

It is an arithmetic number, because the mean of its divisors is an integer number (1783456857).

Almost surely, 2^45142980192 is an apocalyptic number.

It is an amenable number.

45142980192 is an abundant number, since it is smaller than the sum of its proper divisors (83265913512).

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

45142980192 is a wasteful number, since it uses less digits than its factorization.

45142980192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40972 (or 40961 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 45142980192 in words is "forty-five billion, one hundred forty-two million, nine hundred eighty thousand, one hundred ninety-two".