21749149625148 has 144 divisors (see below), whose sum is σ = 61441313536512. Its totient is φ = 6429528864000.

The previous prime is 21749149625111. The next prime is 21749149625171. The reversal of 21749149625148 is 84152694194712.

21749149625148 is a `hidden beast` number, since 2 + 1 + 7 + 4 + 91 + 496 + 2 + 51 + 4 + 8 = 666.

It is a congruent number.

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, 412741483 + ... + 412794173.

It is an arithmetic number, because the mean of its divisors is an integer number (426675788448).

Almost surely, 2^{21749149625148} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21749149625148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30720656768256).

21749149625148 is an abundant number, since it is smaller than the sum of its proper divisors (39692163911364).

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

21749149625148 is a wasteful number, since it uses less digits than its factorization.

21749149625148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78176 (or 78171 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 21749149625148 in words is "twenty-one trillion, seven hundred forty-nine billion, one hundred forty-nine million, six hundred twenty-five thousand, one hundred forty-eight".