19456426971136 has 91 divisors (see below), whose sum is σ = 39880806433777. Its totient is φ = 9490939985920.

The previous prime is 19456426971131. The next prime is 19456426971187. The reversal of 19456426971136 is 63117962465491.

It is a happy number.

The square root of 19456426971136 is 4410944.

The cubic root of 19456426971136 is 26896.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 7388306804736 + 12068120166400 = 2718144^2 + 3473920^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

Its product of digits (58786560) is a multiple of the sum of its prime factors (270).

It is not an unprimeable number, because it can be changed into a prime (19456426971131) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 474546999276 + ... + 474546999316.

Almost surely, 2^{19456426971136} is an apocalyptic number.

19456426971136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19456426971136 is the 4410944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19456426971136

19456426971136 is an abundant number, since it is smaller than the sum of its proper divisors (20424379462641).

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

19456426971136 is an frugal number, since it uses more digits than its factorization.

19456426971136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 43 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 64.

19456426971136 divided by its sum of digits (64) gives a 6-th power (304006671424 = 82⁶).

The spelling of 19456426971136 in words is "nineteen trillion, four hundred fifty-six billion, four hundred twenty-six million, nine hundred seventy-one thousand, one hundred thirty-six".