168463696163616 has 576 divisors, whose sum is σ = 584206724505600. Its totient is φ = 47070271922688.

The previous prime is 168463696163531. The next prime is 168463696163627. The reversal of 168463696163616 is 616361696364861.

168463696163616 is a `hidden beast` number, since 1 + 6 + 8 + 46 + 369 + 6 + 163 + 61 + 6 = 666.

It is a super-3 number, since 3×168463696163616³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2505114505 + ... + 2505181751.

It is an arithmetic number, because the mean of its divisors is an integer number (1014247785600).

Almost surely, 2^{168463696163616} is an apocalyptic number.

168463696163616 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 168463696163616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292103362252800).

168463696163616 is an abundant number, since it is smaller than the sum of its proper divisors (415743028341984).

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

168463696163616 is a wasteful number, since it uses less digits than its factorization.

168463696163616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68586 (or 68565 counting only the distinct ones).

The product of its digits is 725594112, while the sum is 72.

The spelling of 168463696163616 in words is "one hundred sixty-eight trillion, four hundred sixty-three billion, six hundred ninety-six million, one hundred sixty-three thousand, six hundred sixteen".