21469267074816 has 1296 divisors, whose sum is σ = 74274968476800. Its totient is φ = 6171328880640.

The previous prime is 21469267074763. The next prime is 21469267074817. The reversal of 21469267074816 is 61847076296412.

21469267074816 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 92 + 67 + 0 + 7 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21469267074817) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12878983615 + ... + 12878985281.

Almost surely, 2^{21469267074816} 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 21469267074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37137484238400).

21469267074816 is an abundant number, since it is smaller than the sum of its proper divisors (52805701401984).

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

21469267074816 is a wasteful number, since it uses less digits than its factorization.

21469267074816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 21469267074816 in words is "twenty-one trillion, four hundred sixty-nine billion, two hundred sixty-seven million, seventy-four thousand, eight hundred sixteen".