45248484800 has 168 divisors, whose sum is σ = 118367952240. Its totient is φ = 16975872000.

The previous prime is 45248484769. The next prime is 45248484803. The reversal of 45248484800 is 848484254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45248484803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3063032 + ... + 3077768.

Almost surely, 2^45248484800 is an apocalyptic number.

45248484800 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 45248484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59183976120).

45248484800 is an abundant number, since it is smaller than the sum of its proper divisors (73119467440).

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

45248484800 is a wasteful number, since it uses less digits than its factorization.

45248484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14879 (or 14864 counting only the distinct ones).

The product of its (nonzero) digits is 1310720, while the sum is 47.

The spelling of 45248484800 in words is "forty-five billion, two hundred forty-eight million, four hundred eighty-four thousand, eight hundred".