21411135648 has 240 divisors, whose sum is σ = 73436932800. Its totient is φ = 6117213312.

The previous prime is 21411135569. The next prime is 21411135649. The reversal of 21411135648 is 84653111412.

21411135648 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 1 + 1 + 3 + 5 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21411135649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 877015 + ... + 901097.

It is an arithmetic number, because the mean of its divisors is an integer number (305987220).

Almost surely, 2^21411135648 is an apocalyptic number.

21411135648 is a gapful number since it is divisible by the number (28) 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 21411135648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36718466400).

21411135648 is an abundant number, since it is smaller than the sum of its proper divisors (52025797152).

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

21411135648 is an equidigital number, since it uses as much as digits as its factorization.

21411135648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24126 (or 24095 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 21411135648 in words is "twenty-one billion, four hundred eleven million, one hundred thirty-five thousand, six hundred forty-eight".