10164782363809 has 2 divisors, whose sum is σ = 10164782363810. Its totient is φ = 10164782363808.

The previous prime is 10164782363767. The next prime is 10164782363851. The reversal of 10164782363809 is 90836328746101.

It is a balanced prime because it is at equal distance from previous prime (10164782363767) and next prime (10164782363851).

It can be written as a sum of positive squares in only one way, i.e., 8017092113809 + 2147690250000 = 2831447^2 + 1465500^2 .

It is a cyclic number.

It is not a de Polignac number, because 10164782363809 - 2³¹ = 10162634880161 is a prime.

It is not a weakly prime, because it can be changed into another prime (10164782363609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5082391181904 + 5082391181905.

It is an arithmetic number, because the mean of its divisors is an integer number (5082391181905).

Almost surely, 2^{10164782363809} is an apocalyptic number.

It is an amenable number.

10164782363809 is a deficient number, since it is larger than the sum of its proper divisors (1).

10164782363809 is an equidigital number, since it uses as much as digits as its factorization.

10164782363809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 10164782363809 in words is "ten trillion, one hundred sixty-four billion, seven hundred eighty-two million, three hundred sixty-three thousand, eight hundred nine".