45224243680 has 288 divisors, whose sum is σ = 134776147968. Its totient is φ = 14037027840.

The previous prime is 45224243627. The next prime is 45224243683. The reversal of 45224243680 is 8634242254.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45224243683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41604097 + ... + 41605183.

It is an arithmetic number, because the mean of its divisors is an integer number (467972736).

Almost surely, 2^45224243680 is an apocalyptic number.

45224243680 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 45224243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67388073984).

45224243680 is an abundant number, since it is smaller than the sum of its proper divisors (89551904288).

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

45224243680 is a wasteful number, since it uses less digits than its factorization.

45224243680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 45224243680 in words is "forty-five billion, two hundred twenty-four million, two hundred forty-three thousand, six hundred eighty".