21614741100 has 216 divisors, whose sum is σ = 70506268560. Its totient is φ = 5531850240.

The previous prime is 21614741089. The next prime is 21614741101. The reversal of 21614741100 is 114741612.

21614741100 is a `hidden beast` number, since 2 + 1 + 614 + 7 + 41 + 1 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (21614741101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4512907 + ... + 4517693.

It is an arithmetic number, because the mean of its divisors is an integer number (326417910).

Almost surely, 2^21614741100 is an apocalyptic number.

21614741100 is a gapful number since it is divisible by the number (20) 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 21614741100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35253134280).

21614741100 is an abundant number, since it is smaller than the sum of its proper divisors (48891527460).

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

21614741100 is a wasteful number, since it uses less digits than its factorization.

21614741100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 21614741100 in words is "twenty-one billion, six hundred fourteen million, seven hundred forty-one thousand, one hundred".