45448452000 has 960 divisors, whose sum is σ = 197500343040. Its totient is φ = 10015488000.

The previous prime is 45448451999. The next prime is 45448452037. The reversal of 45448452000 is 25484454.

45448452000 is a `hidden beast` number, since 4 + 5 + 448 + 4 + 5 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 65771655 + ... + 65772345.

It is an arithmetic number, because the mean of its divisors is an integer number (205729524).

Almost surely, 2^45448452000 is an apocalyptic number.

45448452000 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 45448452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98750171520).

45448452000 is an abundant number, since it is smaller than the sum of its proper divisors (152051891040).

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

45448452000 is a wasteful number, since it uses less digits than its factorization.

45448452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 45448452000 in words is "forty-five billion, four hundred forty-eight million, four hundred fifty-two thousand".