10111166197636 has 135 divisors (see below), whose sum is σ = 20983150450437. Its totient is φ = 4262975115840.

The previous prime is 10111166197579. The next prime is 10111166197637. The reversal of 10111166197636 is 63679166111101.

The square root of 10111166197636 is 3179806.

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

It can be written as a sum of positive squares in only one way, i.e., 8744736122500 + 1366430075136 = 2957150^2 + 1168944^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 10111166197636.

It is not an unprimeable number, because it can be changed into a prime (10111166197637) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22125089920 + ... + 22125090376.

Almost surely, 2^{10111166197636} is an apocalyptic number.

10111166197636 is the 3179806-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111166197636

10111166197636 is an abundant number, since it is smaller than the sum of its proper divisors (10871984252801).

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

10111166197636 is an frugal number, since it uses more digits than its factorization.

10111166197636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 49.

Multiplying 10111166197636 by its sum of digits (49), we get a square (495447143684164 = 22258642²).

10111166197636 divided by its sum of digits (49) gives a square (206350330564 = 454258²).

The spelling of 10111166197636 in words is "ten trillion, one hundred eleven billion, one hundred sixty-six million, one hundred ninety-seven thousand, six hundred thirty-six".