123380674560 has 1248 divisors, whose sum is σ = 522076778496. Its totient is φ = 26542080000.

The previous prime is 123380674553. The next prime is 123380674579. The reversal of 123380674560 is 65476083321.

123380674560 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 80 + 6 + 7 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 817090485 + ... + 817090635.

It is an arithmetic number, because the mean of its divisors is an integer number (418330752).

Almost surely, 2^123380674560 is an apocalyptic number.

123380674560 is a gapful number since it is divisible by the number (10) 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 123380674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261038389248).

123380674560 is an abundant number, since it is smaller than the sum of its proper divisors (398696103936).

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

123380674560 is a wasteful number, since it uses less digits than its factorization.

123380674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 123380674560 in words is "one hundred twenty-three billion, three hundred eighty million, six hundred seventy-four thousand, five hundred sixty".