123557283648 has 84 divisors (see below), whose sum is σ = 354345247620. Its totient is φ = 41163595776.

The previous prime is 123557283631. The next prime is 123557283667. The reversal of 123557283648 is 846382755321.

123557283648 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 572 + 8 + 3 + 64 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37586352384 + 85970931264 = 193872^2 + 293208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123557283594 and 123557283603.

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, 1031286 + ... + 1144842.

It is an arithmetic number, because the mean of its divisors is an integer number (4218395805).

Almost surely, 2^123557283648 is an apocalyptic number.

123557283648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

123557283648 is an abundant number, since it is smaller than the sum of its proper divisors (230787963972).

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

123557283648 is a wasteful number, since it uses less digits than its factorization.

123557283648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115464 (or 115451 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 123557283648 in words is "one hundred twenty-three billion, five hundred fifty-seven million, two hundred eighty-three thousand, six hundred forty-eight".