16106190864 has 480 divisors, whose sum is σ = 51065303040. Its totient is φ = 4336865280.

The previous prime is 16106190857. The next prime is 16106190899. The reversal of 16106190864 is 46809160161.

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, 342684889 + ... + 342684935.

It is an arithmetic number, because the mean of its divisors is an integer number (106386048).

Almost surely, 2^16106190864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16106190864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25532651520).

16106190864 is an abundant number, since it is smaller than the sum of its proper divisors (34959112176).

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

16106190864 is a wasteful number, since it uses less digits than its factorization.

16106190864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 16106190864 in words is "sixteen billion, one hundred six million, one hundred ninety thousand, eight hundred sixty-four".