45876512448 has 672 divisors, whose sum is σ = 155170753920. Its totient is φ = 12846366720.

The previous prime is 45876512447. The next prime is 45876512459. The reversal of 45876512448 is 84421567854.

45876512448 is a `hidden beast` number, since 4 + 5 + 87 + 6 + 512 + 4 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45876512394 and 45876512403.

It is not an unprimeable number, because it can be changed into a prime (45876512447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 515466388 + ... + 515466476.

It is an arithmetic number, because the mean of its divisors is an integer number (230908860).

Almost surely, 2^45876512448 is an apocalyptic number.

45876512448 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 45876512448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77585376960).

45876512448 is an abundant number, since it is smaller than the sum of its proper divisors (109294241472).

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

45876512448 is a wasteful number, since it uses less digits than its factorization.

45876512448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 45876512448 in words is "forty-five billion, eight hundred seventy-six million, five hundred twelve thousand, four hundred forty-eight".