27221464116414 has 192 divisors, whose sum is σ = 64801978274880. Its totient is φ = 8467504128000.

The previous prime is 27221464116409. The next prime is 27221464116437. The reversal of 27221464116414 is 41461146412272.

27221464116414 is a `hidden beast` number, since 2 + 7 + 2 + 21 + 464 + 1 + 164 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27221464116414.

It is a congruent number.

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, 1134168414 + ... + 1134192414.

It is an arithmetic number, because the mean of its divisors is an integer number (337510303515).

Almost surely, 2^{27221464116414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27221464116414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32400989137440).

27221464116414 is an abundant number, since it is smaller than the sum of its proper divisors (37580514158466).

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

27221464116414 is a wasteful number, since it uses less digits than its factorization.

27221464116414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24920 (or 24895 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 27221464116414 in words is "twenty-seven trillion, two hundred twenty-one billion, four hundred sixty-four million, one hundred sixteen thousand, four hundred fourteen".