11485964448 has 72 divisors (see below), whose sum is σ = 37329391008. Its totient is φ = 3281703552.

The previous prime is 11485964447. The next prime is 11485964449. The reversal of 11485964448 is 84446958411.

11485964448 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 596 + 4 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (11485964447) and next prime (11485964449).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 11485964394 and 11485964403.

It is not an unprimeable number, because it can be changed into a prime (11485964443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2846686 + ... + 2850717.

It is an arithmetic number, because the mean of its divisors is an integer number (518463764).

Almost surely, 2^11485964448 is an apocalyptic number.

11485964448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11485964448 is an abundant number, since it is smaller than the sum of its proper divisors (25843426560).

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

11485964448 is a wasteful number, since it uses less digits than its factorization.

11485964448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5697426 (or 5697415 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 11485964448 in words is "eleven billion, four hundred eighty-five million, nine hundred sixty-four thousand, four hundred forty-eight".