16026731254464 has 448 divisors, whose sum is σ = 51300210124800. Its totient is φ = 4317060464640.

The previous prime is 16026731254403. The next prime is 16026731254477. The reversal of 16026731254464 is 46445213762061.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×16026731254464³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 632230462 + ... + 632255810.

It is an arithmetic number, because the mean of its divisors is an integer number (114509397600).

Almost surely, 2^{16026731254464} is an apocalyptic number.

16026731254464 is a gapful number since it is divisible by the number (14) 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 16026731254464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25650105062400).

16026731254464 is an abundant number, since it is smaller than the sum of its proper divisors (35273478870336).

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

16026731254464 is a wasteful number, since it uses less digits than its factorization.

16026731254464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25688 (or 25678 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 16026731254464 in words is "sixteen trillion, twenty-six billion, seven hundred thirty-one million, two hundred fifty-four thousand, four hundred sixty-four".