16226534259936 has 3072 divisors, whose sum is σ = 69053335142400. Its totient is φ = 3613458677760.

The previous prime is 16226534259883. The next prime is 16226534259941. The reversal of 16226534259936 is 63995243562261.

It is a happy number.

16226534259936 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 6 + 5 + 3 + 4 + 2 + 599 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 97164875725 + ... + 97164875891.

It is an arithmetic number, because the mean of its divisors is an integer number (22478299200).

Almost surely, 2^{16226534259936} is an apocalyptic number.

16226534259936 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 16226534259936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34526667571200).

16226534259936 is an abundant number, since it is smaller than the sum of its proper divisors (52826800882464).

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

16226534259936 is a wasteful number, since it uses less digits than its factorization.

16226534259936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 295 counting only the distinct ones).

The product of its digits is 125971200, while the sum is 63.

The spelling of 16226534259936 in words is "sixteen trillion, two hundred twenty-six billion, five hundred thirty-four million, two hundred fifty-nine thousand, nine hundred thirty-six".