21605467334304 has 192 divisors, whose sum is σ = 67804842873600. Its totient is φ = 5893160706048.

The previous prime is 21605467334303. The next prime is 21605467334411. The reversal of 21605467334304 is 40343376450612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21605467334303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4493967 + ... + 7962830.

It is an arithmetic number, because the mean of its divisors is an integer number (353150223300).

Almost surely, 2^{21605467334304} is an apocalyptic number.

21605467334304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21605467334304 is an abundant number, since it is smaller than the sum of its proper divisors (46199375539296).

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

21605467334304 is a wasteful number, since it uses less digits than its factorization.

21605467334304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12456935 (or 12456927 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 21605467334304 in words is "twenty-one trillion, six hundred five billion, four hundred sixty-seven million, three hundred thirty-four thousand, three hundred four".