45126805248 has 216 divisors, whose sum is σ = 148954766688. Its totient is φ = 12871213056.

The previous prime is 45126805237. The next prime is 45126805289. The reversal of 45126805248 is 84250862154.

45126805248 is a `hidden beast` number, since 4 + 512 + 6 + 80 + 52 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10916590 + ... + 10920722.

Almost surely, 2^45126805248 is an apocalyptic number.

45126805248 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 45126805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74477383344).

45126805248 is an abundant number, since it is smaller than the sum of its proper divisors (103827961440).

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

45126805248 is a wasteful number, since it uses less digits than its factorization.

45126805248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 45126805248 in words is "forty-five billion, one hundred twenty-six million, eight hundred five thousand, two hundred forty-eight".