45558280133568 has 672 divisors, whose sum is σ = 139669654924800. Its totient is φ = 14167068106752.

The previous prime is 45558280133567. The next prime is 45558280133581. The reversal of 45558280133568 is 86533108285554.

It is a happy number.

45558280133568 is a `hidden beast` number, since 4 + 5 + 5 + 58 + 2 + 8 + 0 + 13 + 3 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45558280133567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89505461698 + ... + 89505462206.

It is an arithmetic number, because the mean of its divisors is an integer number (207841748400).

Almost surely, 2^{45558280133568} is an apocalyptic number.

45558280133568 is a gapful number since it is divisible by the number (48) 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 45558280133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69834827462400).

45558280133568 is an abundant number, since it is smaller than the sum of its proper divisors (94111374791232).

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

45558280133568 is a wasteful number, since it uses less digits than its factorization.

45558280133568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 138240000, while the sum is 63.

The spelling of 45558280133568 in words is "forty-five trillion, five hundred fifty-eight billion, two hundred eighty million, one hundred thirty-three thousand, five hundred sixty-eight".