45447457968 has 560 divisors, whose sum is σ = 153920981760. Its totient is φ = 12849062400.

The previous prime is 45447457921. The next prime is 45447457973. The reversal of 45447457968 is 86975474454.

45447457968 is a `hidden beast` number, since 4 + 54 + 4 + 7 + 4 + 579 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 251090838 + ... + 251091018.

It is an arithmetic number, because the mean of its divisors is an integer number (274858896).

Almost surely, 2^45447457968 is an apocalyptic number.

45447457968 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 45447457968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76960490880).

45447457968 is an abundant number, since it is smaller than the sum of its proper divisors (108473523792).

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

45447457968 is a wasteful number, since it uses less digits than its factorization.

45447457968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 45447457968 in words is "forty-five billion, four hundred forty-seven million, four hundred fifty-seven thousand, nine hundred sixty-eight".