21614734109376 has 336 divisors, whose sum is σ = 67482746822400. Its totient is φ = 6588536371200.

The previous prime is 21614734109351. The next prime is 21614734109383. The reversal of 21614734109376 is 67390143741612.

21614734109376 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 4 + 73 + 410 + 93 + 76 = 666.

It is a super-2 number, since 2×21614734109376² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1590364341 + ... + 1590377931.

It is an arithmetic number, because the mean of its divisors is an integer number (200841508400).

Almost surely, 2^{21614734109376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21614734109376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33741373411200).

21614734109376 is an abundant number, since it is smaller than the sum of its proper divisors (45868012713024).

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

21614734109376 is a wasteful number, since it uses less digits than its factorization.

21614734109376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18668 (or 18655 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 21614734109376 in words is "twenty-one trillion, six hundred fourteen billion, seven hundred thirty-four million, one hundred nine thousand, three hundred seventy-six".