21214051166616 has 256 divisors, whose sum is σ = 66458186035200. Its totient is φ = 5482122508800.

The previous prime is 21214051166593. The next prime is 21214051166639. The reversal of 21214051166616 is 61666115041212.

It is an interprime number because it is at equal distance from previous prime (21214051166593) and next prime (21214051166639).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1379947506 + ... + 1379962878.

It is an arithmetic number, because the mean of its divisors is an integer number (259602289200).

Almost surely, 2^{21214051166616} 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 21214051166616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33229093017600).

21214051166616 is an abundant number, since it is smaller than the sum of its proper divisors (45244134868584).

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

21214051166616 is a wasteful number, since it uses less digits than its factorization.

21214051166616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19150 (or 19146 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 21214051166616 in words is "twenty-one trillion, two hundred fourteen billion, fifty-one million, one hundred sixty-six thousand, six hundred sixteen".