16164313897890 has 256 divisors, whose sum is σ = 42058158612480. Its totient is φ = 3963706306560.

The previous prime is 16164313897883. The next prime is 16164313897933. The reversal of 16164313897890 is 9879831346161.

It is a super-2 number, since 2×16164313897890² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8630171994 + ... + 8630173866.

It is an arithmetic number, because the mean of its divisors is an integer number (164289682080).

Almost surely, 2^{16164313897890} is an apocalyptic number.

16164313897890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16164313897890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21029079306240).

16164313897890 is an abundant number, since it is smaller than the sum of its proper divisors (25893844714590).

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

16164313897890 is a wasteful number, since it uses less digits than its factorization.

16164313897890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569.

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 16164313897890 in words is "sixteen trillion, one hundred sixty-four billion, three hundred thirteen million, eight hundred ninety-seven thousand, eight hundred ninety".