45445248000 has 528 divisors, whose sum is σ = 165786955776. Its totient is φ = 11969740800.

The previous prime is 45445247989. The next prime is 45445248007. The reversal of 45445248000 is 84254454.

45445248000 is a `hidden beast` number, since 4 + 54 + 4 + 524 + 80 + 0 + 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 not an unprimeable number, because it can be changed into a prime (45445248007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118655809 + ... + 118656191.

Almost surely, 2^45445248000 is an apocalyptic number.

45445248000 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 45445248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82893477888).

45445248000 is an abundant number, since it is smaller than the sum of its proper divisors (120341707776).

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

45445248000 is a wasteful number, since it uses less digits than its factorization.

45445248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 496 counting only the distinct ones).

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

The spelling of 45445248000 in words is "forty-five billion, four hundred forty-five million, two hundred forty-eight thousand".