21948735193 has 16 divisors (see below), whose sum is σ = 27376493184. Its totient is φ = 17095512960.

The previous prime is 21948735181. The next prime is 21948735283. The reversal of 21948735193 is 39153784912.

It is a cyclic number.

It is not a de Polignac number, because 21948735193 - 2¹⁷ = 21948604121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21948735193.

It is not an unprimeable number, because it can be changed into a prime (21948735593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121021 + ... + 241957.

It is an arithmetic number, because the mean of its divisors is an integer number (1711030824).

Almost surely, 2^21948735193 is an apocalyptic number.

It is an amenable number.

21948735193 is a deficient number, since it is larger than the sum of its proper divisors (5427757991).

21948735193 is a wasteful number, since it uses less digits than its factorization.

21948735193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123312.

The product of its digits is 1632960, while the sum is 52.

The spelling of 21948735193 in words is "twenty-one billion, nine hundred forty-eight million, seven hundred thirty-five thousand, one hundred ninety-three".