168051676416 has 288 divisors, whose sum is σ = 495238568832. Its totient is φ = 50260869120.

The previous prime is 168051676381. The next prime is 168051676423. The reversal of 168051676416 is 614676150861.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144497851 + ... + 144499013.

It is an arithmetic number, because the mean of its divisors is an integer number (1719578364).

Almost surely, 2^168051676416 is an apocalyptic number.

168051676416 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 168051676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247619284416).

168051676416 is an abundant number, since it is smaller than the sum of its proper divisors (327186892416).

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

168051676416 is a wasteful number, since it uses less digits than its factorization.

168051676416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 168051676416 in words is "one hundred sixty-eight billion, fifty-one million, six hundred seventy-six thousand, four hundred sixteen".