8956193436100 has 135 divisors (see below), whose sum is σ = 20539426458327. Its totient is φ = 3389831933760.

The previous prime is 8956193436059. The next prime is 8956193436101. The reversal of 8956193436100 is 16343916598.

The square root of 8956193436100 is 2992690.

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 38850775236 + 8917342660864 = 197106^2 + 2986192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8956193436101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10803610486 + ... + 10803611314.

Almost surely, 2^{8956193436100} is an apocalyptic number.

8956193436100 is the 2992690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8956193436100

8956193436100 is an abundant number, since it is smaller than the sum of its proper divisors (11583233022227).

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

8956193436100 is an frugal number, since it uses more digits than its factorization.

8956193436100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The spelling of 8956193436100 in words is "eight trillion, nine hundred fifty-six billion, one hundred ninety-three million, four hundred thirty-six thousand, one hundred".