45193920000 has 400 divisors, whose sum is σ = 151866887040. Its totient is φ = 11938816000.

The previous prime is 45193919993. The next prime is 45193920001. The reversal of 45193920000 is 2939154.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45193920001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171839869 + ... + 171840131.

Almost surely, 2^45193920000 is an apocalyptic number.

45193920000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45193920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75933443520).

45193920000 is an abundant number, since it is smaller than the sum of its proper divisors (106672967040).

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

45193920000 is an equidigital number, since it uses as much as digits as its factorization.

45193920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 45193920000 in words is "forty-five billion, one hundred ninety-three million, nine hundred twenty thousand".