21611394110016 has 672 divisors, whose sum is σ = 67179607372800. Its totient is φ = 6621567160320.

The previous prime is 21611394109967. The next prime is 21611394110029. The reversal of 21611394110016 is 61001149311612.

It is a happy number.

21611394110016 is a `hidden beast` number, since 2 + 1 + 611 + 39 + 4 + 1 + 1 + 0 + 0 + 1 + 6 = 666.

It is a super-3 number, since 3×21611394110016³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 29086667341 + ... + 29086668083.

Almost surely, 2^{21611394110016} 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 21611394110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33589803686400).

21611394110016 is an abundant number, since it is smaller than the sum of its proper divisors (45568213262784).

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

21611394110016 is a wasteful number, since it uses less digits than its factorization.

21611394110016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 21611394110016 in words is "twenty-one trillion, six hundred eleven billion, three hundred ninety-four million, one hundred ten thousand, sixteen".