21854456443116 has 240 divisors, whose sum is σ = 63675751553568. Its totient is φ = 6480232243200.

The previous prime is 21854456443109. The next prime is 21854456443121. The reversal of 21854456443116 is 61134465445812.

21854456443116 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 44 + 564 + 4 + 31 + 1 + 6 = 666.

It is a super-2 number, since 2×21854456443116² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41698546 + ... + 42219398.

Almost surely, 2^{21854456443116} 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 21854456443116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31837875776784).

21854456443116 is an abundant number, since it is smaller than the sum of its proper divisors (41821295110452).

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

21854456443116 is a wasteful number, since it uses less digits than its factorization.

21854456443116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521134 (or 521123 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 21854456443116 in words is "twenty-one trillion, eight hundred fifty-four billion, four hundred fifty-six million, four hundred forty-three thousand, one hundred sixteen".