20188431396 has 243 divisors, whose sum is σ = 63379470609. Its totient is φ = 5401541376.

The previous prime is 20188431331. The next prime is 20188431409. The reversal of 20188431396 is 69313488102.

The square root of 20188431396 is 142086.

It is a perfect power (a square), and thus also a powerful number.

20188431396 is a `hidden beast` number, since 2 + 0 + 188 + 431 + 39 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15717636900 + 4470794496 = 125370^2 + 66864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 101449305 + ... + 101449503.

Almost surely, 2^20188431396 is an apocalyptic number.

20188431396 is the 142086-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20188431396

20188431396 is an abundant number, since it is smaller than the sum of its proper divisors (43191039213).

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

20188431396 is a wasteful number, since it uses less digits than its factorization.

20188431396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

It can be divided in two parts, 20188 and 431396, that added together give a square (451584 = 672²).

The spelling of 20188431396 in words is "twenty billion, one hundred eighty-eight million, four hundred thirty-one thousand, three hundred ninety-six".