19242946657 has 24 divisors (see below), whose sum is σ = 21586458600. Its totient is φ = 17136979200.

The previous prime is 19242946649. The next prime is 19242946687. The reversal of 19242946657 is 75664924291.

It can be written as a sum of positive squares in 4 ways, for example, as 604963216 + 18637983441 = 24596^2 + 136521^2 .

It is not a de Polignac number, because 19242946657 - 2³ = 19242946649 is a prime.

It is a super-3 number, since 3×19242946657³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19242946598 and 19242946607.

It is not an unprimeable number, because it can be changed into a prime (19242946687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1308807 + ... + 1323427.

It is an arithmetic number, because the mean of its divisors is an integer number (899435775).

Almost surely, 2^19242946657 is an apocalyptic number.

It is an amenable number.

19242946657 is a deficient number, since it is larger than the sum of its proper divisors (2343511943).

19242946657 is a wasteful number, since it uses less digits than its factorization.

19242946657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14865 (or 14854 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

It can be divided in two parts, 192429 and 46657, that added together give a triangular number (239086 = T₆₉₁).

The spelling of 19242946657 in words is "nineteen billion, two hundred forty-two million, nine hundred forty-six thousand, six hundred fifty-seven".