11430407682648 has 48 divisors (see below), whose sum is σ = 30957572162400. Its totient is φ = 3810109060800.

The previous prime is 11430407682583. The next prime is 11430407682691. The reversal of 11430407682648 is 84628670403411.

11430407682648 is a `hidden beast` number, since 1 + 1 + 4 + 304 + 0 + 76 + 8 + 264 + 8 = 666.

11430407682648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11430407682594 and 11430407682603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11541873 + ... + 12493023.

It is an arithmetic number, because the mean of its divisors is an integer number (644949420050).

Almost surely, 2^{11430407682648} is an apocalyptic number.

11430407682648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11430407682648 is an abundant number, since it is smaller than the sum of its proper divisors (19527164479752).

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

11430407682648 is a wasteful number, since it uses less digits than its factorization.

11430407682648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118072 (or 1118065 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 11430407682648 in words is "eleven trillion, four hundred thirty billion, four hundred seven million, six hundred eighty-two thousand, six hundred forty-eight".