168123080952 has 320 divisors, whose sum is σ = 515518080000. Its totient is φ = 50993141760.

The previous prime is 168123080927. The next prime is 168123080977. The reversal of 168123080952 is 259080321861.

It is an interprime number because it is at equal distance from previous prime (168123080927) and next prime (168123080977).

It is a junction number, because it is equal to n+sod(n) for n = 168123080898 and 168123080907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53050824 + ... + 53053992.

It is an arithmetic number, because the mean of its divisors is an integer number (1610994000).

Almost surely, 2^168123080952 is an apocalyptic number.

168123080952 is a gapful number since it is divisible by the number (12) 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 168123080952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257759040000).

168123080952 is an abundant number, since it is smaller than the sum of its proper divisors (347394999048).

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

168123080952 is a wasteful number, since it uses less digits than its factorization.

168123080952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 168123080952 in words is "one hundred sixty-eight billion, one hundred twenty-three million, eighty thousand, nine hundred fifty-two".