45716448960 has 1344 divisors, whose sum is σ = 212166549504. Its totient is φ = 8758886400.

The previous prime is 45716448959. The next prime is 45716448979. The reversal of 45716448960 is 6984461754.

45716448960 is a `hidden beast` number, since 4 + 571 + 6 + 4 + 4 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 45716448897 and 45716448906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 138115995 + ... + 138116325.

It is an arithmetic number, because the mean of its divisors is an integer number (157862016).

Almost surely, 2^45716448960 is an apocalyptic number.

45716448960 is a gapful number since it is divisible by the number (40) 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 45716448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106083274752).

45716448960 is an abundant number, since it is smaller than the sum of its proper divisors (166450100544).

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

45716448960 is a wasteful number, since it uses less digits than its factorization.

45716448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 45716448960 in words is "forty-five billion, seven hundred sixteen million, four hundred forty-eight thousand, nine hundred sixty".