45945805248 has 336 divisors, whose sum is σ = 156226337280. Its totient is φ = 12631836672.

The previous prime is 45945805189. The next prime is 45945805271. The reversal of 45945805248 is 84250854954.

45945805248 is a `hidden beast` number, since 4 + 5 + 9 + 4 + 580 + 52 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×45945805248² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45945805194 and 45945805203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51798661 + ... + 51799547.

Almost surely, 2^45945805248 is an apocalyptic number.

45945805248 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 45945805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78113168640).

45945805248 is an abundant number, since it is smaller than the sum of its proper divisors (110280532032).

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

45945805248 is a wasteful number, since it uses less digits than its factorization.

45945805248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 45945805248 in words is "forty-five billion, nine hundred forty-five million, eight hundred five thousand, two hundred forty-eight".