45530922286080 has 2464 divisors, whose sum is σ = 216196622760960. Its totient is φ = 8903487651840.

The previous prime is 45530922286013. The next prime is 45530922286181. The reversal of 45530922286080 is 8068222903554.

45530922286080 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 0 + 9 + 2 + 2 + 28 + 608 + 0 = 666.

45530922286080 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 (2464).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4885811661 + ... + 4885820979.

Almost surely, 2^{45530922286080} is an apocalyptic number.

45530922286080 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 45530922286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108098311380480).

45530922286080 is an abundant number, since it is smaller than the sum of its proper divisors (170665700474880).

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

45530922286080 is a wasteful number, since it uses less digits than its factorization.

45530922286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9397 (or 9364 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 45530922286080 in words is "forty-five trillion, five hundred thirty billion, nine hundred twenty-two million, two hundred eighty-six thousand, eighty".