123694940160 has 1088 divisors, whose sum is σ = 507339141120. Its totient is φ = 28311552000.

The previous prime is 123694940153. The next prime is 123694940197. The reversal of 123694940160 is 61049496321.

123694940160 is a `hidden beast` number, since 1 + 236 + 9 + 4 + 9 + 401 + 6 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 3016949740 + ... + 3016949780.

Almost surely, 2^123694940160 is an apocalyptic number.

123694940160 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 123694940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253669570560).

123694940160 is an abundant number, since it is smaller than the sum of its proper divisors (383644200960).

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

123694940160 is an equidigital number, since it uses as much as digits as its factorization.

123694940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 123694940160 in words is "one hundred twenty-three billion, six hundred ninety-four million, nine hundred forty thousand, one hundred sixty".