21434113132344 has 96 divisors (see below), whose sum is σ = 63365339232000. Its totient is φ = 6491362443840.

The previous prime is 21434113132307. The next prime is 21434113132381. The reversal of 21434113132344 is 44323131143412.

21434113132344 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 411 + 3 + 1 + 3 + 234 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (21434113132307) and next prime (21434113132381).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21434113132299 and 21434113132308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6618864 + ... + 9310079.

It is an arithmetic number, because the mean of its divisors is an integer number (660055617000).

Almost surely, 2^{21434113132344} is an apocalyptic number.

21434113132344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21434113132344 is an abundant number, since it is smaller than the sum of its proper divisors (41931226099656).

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

21434113132344 is a wasteful number, since it uses less digits than its factorization.

21434113132344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15930665 (or 15930658 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 21434113132344 its reverse (44323131143412), we get a palindrome (65757244275756).

The spelling of 21434113132344 in words is "twenty-one trillion, four hundred thirty-four billion, one hundred thirteen million, one hundred thirty-two thousand, three hundred forty-four".