123668633088 has 1120 divisors, whose sum is σ = 498922566912. Its totient is φ = 29561241600.

The previous prime is 123668633087. The next prime is 123668633117. The reversal of 123668633088 is 880336866321.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123668633087) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 373621083 + ... + 373621413.

Almost surely, 2^123668633088 is an apocalyptic number.

123668633088 is a gapful number since it is divisible by the number (18) 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 123668633088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249461283456).

123668633088 is an abundant number, since it is smaller than the sum of its proper divisors (375253933824).

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

123668633088 is an equidigital number, since it uses as much as digits as its factorization.

123668633088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 123668633088 in words is "one hundred twenty-three billion, six hundred sixty-eight million, six hundred thirty-three thousand, eighty-eight".