21119395813344 has 144 divisors (see below), whose sum is σ = 60791817380112. Its totient is φ = 6953844178944.

The previous prime is 21119395813333. The next prime is 21119395813357. The reversal of 21119395813344 is 44331859391112.

21119395813344 is a `hidden beast` number, since 2 + 1 + 1 + 19 + 3 + 9 + 581 + 3 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 152844832 + ... + 152982944.

It is an arithmetic number, because the mean of its divisors is an integer number (422165398473).

Almost surely, 2^{21119395813344} is an apocalyptic number.

21119395813344 is a gapful number since it is divisible by the number (24) 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 21119395813344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30395908690056).

21119395813344 is an abundant number, since it is smaller than the sum of its proper divisors (39672421566768).

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

21119395813344 is a wasteful number, since it uses less digits than its factorization.

21119395813344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144609 (or 144598 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 21119395813344 in words is "twenty-one trillion, one hundred nineteen billion, three hundred ninety-five million, eight hundred thirteen thousand, three hundred forty-four".