396131638139136 has 243 divisors, whose sum is σ = 1213331984701473. Its totient is φ = 124271497175040.

The previous prime is 396131638139071. The next prime is 396131638139137. The reversal of 396131638139136 is 631931836131693.

It is a happy number.

The square root of 396131638139136 is 19903056.

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

396131638139136 is a `hidden beast` number, since 3 + 9 + 6 + 1 + 3 + 163 + 81 + 391 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 308406984710400 + 87724653428736 = 17561520^2 + 9366144^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (396131638139137) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16240881501 + ... + 16240905891.

Almost surely, 2^{396131638139136} is an apocalyptic number.

396131638139136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

396131638139136 is the 19903056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396131638139136

396131638139136 is an abundant number, since it is smaller than the sum of its proper divisors (817200346562337).

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

396131638139136 is an frugal number, since it uses more digits than its factorization.

396131638139136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48838 (or 24413 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 63.

The spelling of 396131638139136 in words is "three hundred ninety-six trillion, one hundred thirty-one billion, six hundred thirty-eight million, one hundred thirty-nine thousand, one hundred thirty-six".