193638721936 has 135 divisors (see below), whose sum is σ = 421183090083. Its totient is φ = 86178216960.

The previous prime is 193638721921. The next prime is 193638721951. The reversal of 193638721936 is 639127836391.

The square root of 193638721936 is 440044.

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

It is an interprime number because it is at equal distance from previous prime (193638721921) and next prime (193638721951).

It can be written as a sum of positive squares in 4 ways, for example, as 4657243536 + 188981478400 = 68244^2 + 434720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1413421260 + ... + 1413421396.

Almost surely, 2^193638721936 is an apocalyptic number.

193638721936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

193638721936 is the 440044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193638721936

193638721936 is an abundant number, since it is smaller than the sum of its proper divisors (227544368147).

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

193638721936 is an equidigital number, since it uses as much as digits as its factorization.

193638721936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 223 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 58.

The spelling of 193638721936 in words is "one hundred ninety-three billion, six hundred thirty-eight million, seven hundred twenty-one thousand, nine hundred thirty-six".