45248544000 has 1296 divisors, whose sum is σ = 192554316864. Its totient is φ = 10492416000.

The previous prime is 45248543999. The next prime is 45248544031. The reversal of 45248544000 is 44584254.

45248544000 is a `hidden beast` number, since 4 + 5 + 248 + 5 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 1967327989 + ... + 1967328011.

Almost surely, 2^45248544000 is an apocalyptic number.

45248544000 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 45248544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96277158432).

45248544000 is an abundant number, since it is smaller than the sum of its proper divisors (147305772864).

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

45248544000 is an equidigital number, since it uses as much as digits as its factorization.

45248544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 44 counting only the distinct ones).

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

The spelling of 45248544000 in words is "forty-five billion, two hundred forty-eight million, five hundred forty-four thousand".