21334177143312 has 160 divisors (see below), whose sum is σ = 61158585600000. Its totient is φ = 6353669521920.

The previous prime is 21334177143269. The next prime is 21334177143329.

21334177143312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21334177143312² (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 121997314 + ... + 122172062.

It is an arithmetic number, because the mean of its divisors is an integer number (382241160000).

Almost surely, 2^{21334177143312} is an apocalyptic number.

21334177143312 is a gapful number since it is divisible by the number (22) 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 21334177143312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30579292800000).

21334177143312 is an abundant number, since it is smaller than the sum of its proper divisors (39824408456688).

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

21334177143312 is a wasteful number, since it uses less digits than its factorization.

21334177143312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178749 (or 178743 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

It can be divided in two parts, 2133417 and 7143312, that added together give a palindrome (9276729).

The spelling of 21334177143312 in words is "twenty-one trillion, three hundred thirty-four billion, one hundred seventy-seven million, one hundred forty-three thousand, three hundred twelve".