21738456675 has 48 divisors (see below), whose sum is σ = 43006240480. Its totient is φ = 10702005120.

The previous prime is 21738456611. The next prime is 21738456689. The reversal of 21738456675 is 57665483712.

21738456675 is a `hidden beast` number, since 2 + 1 + 7 + 3 + 8 + 4 + 566 + 75 = 666.

It is not a de Polignac number, because 21738456675 - 2⁶ = 21738456611 is a prime.

It is a super-2 number, since 2×21738456675² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229884 + ... + 1247433.

Almost surely, 2^21738456675 is an apocalyptic number.

21738456675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21738456675 is a deficient number, since it is larger than the sum of its proper divisors (21267783805).

21738456675 is a wasteful number, since it uses less digits than its factorization.

21738456675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477349 (or 2477338 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 21738456675 in words is "twenty-one billion, seven hundred thirty-eight million, four hundred fifty-six thousand, six hundred seventy-five".