45214848000 has 1320 divisors, whose sum is σ = 198218952360. Its totient is φ = 10218700800.

The previous prime is 45214847989. The next prime is 45214848013. The reversal of 45214848000 is 84841254.

It can be written as a sum of positive squares in 4 ways, for example, as 6181733376 + 39033114624 = 78624^2 + 197568^2 .

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 119 ways as a sum of consecutive naturals, for example, 508031956 + ... + 508032044.

It is an arithmetic number, because the mean of its divisors is an integer number (150165873).

Almost surely, 2^45214848000 is an apocalyptic number.

45214848000 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 45214848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99109476180).

45214848000 is an abundant number, since it is smaller than the sum of its proper divisors (153004104360).

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

45214848000 is an equidigital number, since it uses as much as digits as its factorization.

45214848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 45214848000 in words is "forty-five billion, two hundred fourteen million, eight hundred forty-eight thousand".