45252409200 has 60 divisors (see below), whose sum is σ = 144958554648. Its totient is φ = 12067308800.

The previous prime is 45252409171. The next prime is 45252409201. The reversal of 45252409200 is 290425254.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45252409201) 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, 18853971 + ... + 18856370.

Almost surely, 2^45252409200 is an apocalyptic number.

45252409200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45252409200 is an abundant number, since it is smaller than the sum of its proper divisors (99706145448).

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

45252409200 is a wasteful number, since it uses less digits than its factorization.

45252409200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37710362 (or 37710351 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 45252409200 in words is "forty-five billion, two hundred fifty-two million, four hundred nine thousand, two hundred".