869947944100 has 81 divisors (see below), whose sum is σ = 1992779522307. Its totient is φ = 329597328960.

The previous prime is 869947944097. The next prime is 869947944133. The reversal of 869947944100 is 1449749968.

The square root of 869947944100 is 932710.

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

It can be written as a sum of positive squares in 4 ways, for example, as 243773262756 + 626174681344 = 493734^2 + 791312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 177212446 + ... + 177217354.

Almost surely, 2^869947944100 is an apocalyptic number.

869947944100 is the 932710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869947944100

869947944100 is an abundant number, since it is smaller than the sum of its proper divisors (1122831578207).

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

869947944100 is an equidigital number, since it uses as much as digits as its factorization.

869947944100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9870 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 869947944100 in words is "eight hundred sixty-nine billion, nine hundred forty-seven million, nine hundred forty-four thousand, one hundred".