162914768016 has 480 divisors, whose sum is σ = 609020270208. Its totient is φ = 36761518080.

The previous prime is 162914767937. The next prime is 162914768039. The reversal of 162914768016 is 610867419261.

162914768016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 162914768016.

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, 5703466 + ... + 5731958.

Almost surely, 2^162914768016 is an apocalyptic number.

162914768016 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 162914768016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304510135104).

162914768016 is an abundant number, since it is smaller than the sum of its proper divisors (446105502192).

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

162914768016 is a wasteful number, since it uses less digits than its factorization.

162914768016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28559 (or 28546 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

It can be divided in two parts, 162914 and 768016, that added together give a triangular number (930930 = T₁₃₆₄).

The spelling of 162914768016 in words is "one hundred sixty-two billion, nine hundred fourteen million, seven hundred sixty-eight thousand, sixteen".