45703325952 has 360 divisors, whose sum is σ = 144298714560. Its totient is φ = 14347653120.

The previous prime is 45703325951. The next prime is 45703325957. The reversal of 45703325952 is 25952330754.

45703325952 is a `hidden beast` number, since 4 + 57 + 0 + 3 + 3 + 2 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45703325898 and 45703325907.

It is not an unprimeable number, because it can be changed into a prime (45703325951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122528838 + ... + 122529210.

Almost surely, 2^45703325952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45703325952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72149357280).

45703325952 is an abundant number, since it is smaller than the sum of its proper divisors (98595388608).

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

45703325952 is a wasteful number, since it uses less digits than its factorization.

45703325952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 45703325952 in words is "forty-five billion, seven hundred three million, three hundred twenty-five thousand, nine hundred fifty-two".