21745368504 has 24 divisors (see below), whose sum is σ = 58893706560. Its totient is φ = 7248456144.

The previous prime is 21745368503. The next prime is 21745368517. The reversal of 21745368504 is 40586354712.

21745368504 is a `hidden beast` number, since 21 + 74 + 53 + 6 + 8 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×21745368504² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21745368504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21745368503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151009432 + ... + 151009575.

It is an arithmetic number, because the mean of its divisors is an integer number (2453904440).

Almost surely, 2^21745368504 is an apocalyptic number.

21745368504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21745368504 is an abundant number, since it is smaller than the sum of its proper divisors (37148338056).

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

21745368504 is a wasteful number, since it uses less digits than its factorization.

21745368504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302019019 (or 302019012 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 21745368504 in words is "twenty-one billion, seven hundred forty-five million, three hundred sixty-eight thousand, five hundred four".