123456790368 has 72 divisors (see below), whose sum is σ = 352347913008. Its totient is φ = 41003672832.

The previous prime is 123456790309. The next prime is 123456790403. The reversal of 123456790368 is 863097654321.

123456790368 is a `hidden beast` number, since 12 + 3 + 4 + 567 + 9 + 0 + 3 + 68 = 666.

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

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, 693996 + ... + 853547.

It is an arithmetic number, because the mean of its divisors is an integer number (4893721014).

It is a 2-persistent number, because it is pandigital, and so is 2⋅123456790368 = 246913580736, but 3⋅123456790368 = 370370371104 is not.

Almost surely, 2^123456790368 is an apocalyptic number.

123456790368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

123456790368 is an abundant number, since it is smaller than the sum of its proper divisors (228891122640).

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

123456790368 is a wasteful number, since it uses less digits than its factorization.

123456790368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547836 (or 1547825 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 123456790368 in words is "one hundred twenty-three billion, four hundred fifty-six million, seven hundred ninety thousand, three hundred sixty-eight".