45002322247680 has 1536 divisors, whose sum is σ = 186662386310400. Its totient is φ = 10188081856512.

The previous prime is 45002322247639. The next prime is 45002322247699. The reversal of 45002322247680 is 8674222320054.

45002322247680 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 2 + 322 + 247 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31492177206 + ... + 31492178634.

Almost surely, 2^{45002322247680} is an apocalyptic number.

45002322247680 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 45002322247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93331193155200).

45002322247680 is an abundant number, since it is smaller than the sum of its proper divisors (141660064062720).

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

45002322247680 is an equidigital number, since it uses as much as digits as its factorization.

45002322247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 45002322247680 in words is "forty-five trillion, two billion, three hundred twenty-two million, two hundred forty-seven thousand, six hundred eighty".