45081852480 has 560 divisors, whose sum is σ = 184020439680. Its totient is φ = 10262495232.

The previous prime is 45081852469. The next prime is 45081852481. The reversal of 45081852480 is 8425818054.

45081852480 is a `hidden beast` number, since 4 + 508 + 18 + 52 + 4 + 80 = 666.

45081852480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45081852481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76023064 + ... + 76023656.

It is an arithmetic number, because the mean of its divisors is an integer number (328607928).

Almost surely, 2^45081852480 is an apocalyptic number.

45081852480 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 45081852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92010219840).

45081852480 is an abundant number, since it is smaller than the sum of its proper divisors (138938587200).

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

45081852480 is a wasteful number, since it uses less digits than its factorization.

45081852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 45081852480 in words is "forty-five billion, eighty-one million, eight hundred fifty-two thousand, four hundred eighty".