21614461344 has 216 divisors, whose sum is σ = 73247307588. Its totient is φ = 6024775680.

The previous prime is 21614461327. The next prime is 21614461357. The reversal of 21614461344 is 44316441612.

21614461344 is a `hidden beast` number, since 2 + 1 + 614 + 4 + 6 + 1 + 34 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17905651344 + 3708810000 = 133812^2 + 60900^2 .

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 = 21614461299 and 21614461308.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 559914 + ... + 597270.

Almost surely, 2^21614461344 is an apocalyptic number.

21614461344 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 21614461344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36623653794).

21614461344 is an abundant number, since it is smaller than the sum of its proper divisors (51632846244).

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

21614461344 is a wasteful number, since it uses less digits than its factorization.

21614461344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37428 (or 37410 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 21614461344 in words is "twenty-one billion, six hundred fourteen million, four hundred sixty-one thousand, three hundred forty-four".