21461128416 has 192 divisors, whose sum is σ = 77040230400. Its totient is φ = 5660057088.

The previous prime is 21461128393. The next prime is 21461128421. The reversal of 21461128416 is 61482116412.

21461128416 is a `hidden beast` number, since 2 + 1 + 4 + 611 + 28 + 4 + 16 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57856 + ... + 215103.

It is an arithmetic number, because the mean of its divisors is an integer number (401251200).

Almost surely, 2^21461128416 is an apocalyptic number.

21461128416 is a gapful number since it is divisible by the number (26) 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 21461128416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38520115200).

21461128416 is an abundant number, since it is smaller than the sum of its proper divisors (55579101984).

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

21461128416 is a wasteful number, since it uses less digits than its factorization.

21461128416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272998 (or 272984 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 21461128416 in words is "twenty-one billion, four hundred sixty-one million, one hundred twenty-eight thousand, four hundred sixteen".