45456589946880 has 1728 divisors, whose sum is σ = 190569056633280. Its totient is φ = 10378038214656.

The previous prime is 45456589946821. The next prime is 45456589946881. The reversal of 45456589946880 is 8864998565454.

45456589946880 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 65 + 8 + 99 + 468 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 45456589946880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45456589946881) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 52672757329 + ... + 52672758191.

It is an arithmetic number, because the mean of its divisors is an integer number (110283018885).

Almost surely, 2^{45456589946880} is an apocalyptic number.

45456589946880 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 45456589946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95284528316640).

45456589946880 is an abundant number, since it is smaller than the sum of its proper divisors (145112466686400).

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

45456589946880 is an frugal number, since it uses more digits than its factorization.

45456589946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 11943936000, while the sum is 81.

The spelling of 45456589946880 in words is "forty-five trillion, four hundred fifty-six billion, five hundred eighty-nine million, nine hundred forty-six thousand, eight hundred eighty".