14021771970816 has 1296 divisors, whose sum is σ = 46465659240000. Its totient is φ = 4205543473152.

The previous prime is 14021771970781. The next prime is 14021771970841. The reversal of 14021771970816 is 61807917712041.

14021771970816 is a `hidden beast` number, since 1 + 402 + 1 + 7 + 71 + 97 + 0 + 81 + 6 = 666.

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

It is a super-2 number, since 2×14021771970816² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100876057275 + ... + 100876057413.

Almost surely, 2^{14021771970816} is an apocalyptic number.

14021771970816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14021771970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23232829620000).

14021771970816 is an abundant number, since it is smaller than the sum of its proper divisors (32443887269184).

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

14021771970816 is an equidigital number, since it uses as much as digits as its factorization.

14021771970816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The spelling of 14021771970816 in words is "fourteen trillion, twenty-one billion, seven hundred seventy-one million, nine hundred seventy thousand, eight hundred sixteen".