320985701136 has 135 divisors (see below), whose sum is σ = 928836668487. Its totient is φ = 103475787840.

The previous prime is 320985701089. The next prime is 320985701143. The reversal of 320985701136 is 631107589023.

The square root of 320985701136 is 566556.

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

320985701136 is a `hidden beast` number, since 32 + 0 + 9 + 8 + 570 + 11 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 320985701091 and 320985701100.

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, 210758071 + ... + 210759593.

Almost surely, 2^320985701136 is an apocalyptic number.

320985701136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

320985701136 is the 566556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320985701136

320985701136 is an abundant number, since it is smaller than the sum of its proper divisors (607850967351).

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

320985701136 is an equidigital number, since it uses as much as digits as its factorization.

320985701136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

It can be divided in two parts, 320985 and 701136, that added together give a square (1022121 = 1011²).

The spelling of 320985701136 in words is "three hundred twenty billion, nine hundred eighty-five million, seven hundred one thousand, one hundred thirty-six".