123611152896 has 1680 divisors, whose sum is σ = 513950355072. Its totient is φ = 28904325120.

The previous prime is 123611152891. The next prime is 123611152937. The reversal of 123611152896 is 698251116321.

It is a happy number.

123611152896 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 111 + 528 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123611152891) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5374397941 + ... + 5374397963.

Almost surely, 2^123611152896 is an apocalyptic number.

123611152896 is a gapful number since it is divisible by the number (16) 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 123611152896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256975177536).

123611152896 is an abundant number, since it is smaller than the sum of its proper divisors (390339202176).

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

123611152896 is an equidigital number, since it uses as much as digits as its factorization.

123611152896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 63 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 123611152896 in words is "one hundred twenty-three billion, six hundred eleven million, one hundred fifty-two thousand, eight hundred ninety-six".