45380228589600 has 576 divisors, whose sum is σ = 155127711191040. Its totient is φ = 11507857920000.

The previous prime is 45380228589523. The next prime is 45380228589611. The reversal of 45380228589600 is 698582208354.

It is a happy number.

It is a super-3 number, since 3×45380228589600³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5314462131 + ... + 5314470669.

It is an arithmetic number, because the mean of its divisors is an integer number (269318943040).

Almost surely, 2^{45380228589600} is an apocalyptic number.

45380228589600 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 45380228589600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77563855595520).

45380228589600 is an abundant number, since it is smaller than the sum of its proper divisors (109747482601440).

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

45380228589600 is a wasteful number, since it uses less digits than its factorization.

45380228589600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9825 (or 9812 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 45380228589600 in words is "forty-five trillion, three hundred eighty billion, two hundred twenty-eight million, five hundred eighty-nine thousand, six hundred".