45223682240 has 336 divisors, whose sum is σ = 123507532512. Its totient is φ = 15747072000.

The previous prime is 45223682227. The next prime is 45223682249. The reversal of 45223682240 is 4228632254.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45223682194 and 45223682203.

It is not an unprimeable number, because it can be changed into a prime (45223682249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96838487 + ... + 96838953.

It is an arithmetic number, because the mean of its divisors is an integer number (367581942).

Almost surely, 2^45223682240 is an apocalyptic number.

45223682240 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 45223682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61753766256).

45223682240 is an abundant number, since it is smaller than the sum of its proper divisors (78283850272).

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

45223682240 is a wasteful number, since it uses less digits than its factorization.

45223682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 45223682240 in words is "forty-five billion, two hundred twenty-three million, six hundred eighty-two thousand, two hundred forty".