1186726996900 has 81 divisors (see below), whose sum is σ = 2640533026537. Its totient is φ = 462938675200.

The previous prime is 1186726996883. The next prime is 1186726996933. The reversal of 1186726996900 is 96996276811.

The square root of 1186726996900 is 1089370.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1123146365796 + 63580631104 = 1059786^2 + 252152^2 .

It is a super-2 number, since 2×1186726996900² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 446640372 + ... + 446643028.

Almost surely, 2^{1186726996900} is an apocalyptic number.

1186726996900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1186726996900 is the 1089370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1186726996900

1186726996900 is an abundant number, since it is smaller than the sum of its proper divisors (1453806029637).

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

1186726996900 is an frugal number, since it uses more digits than its factorization.

1186726996900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 64.

Multiplying 1186726996900 by its sum of digits (64), we get a square (75950527801600 = 8714960²).

The spelling of 1186726996900 in words is "one trillion, one hundred eighty-six billion, seven hundred twenty-six million, nine hundred ninety-six thousand, nine hundred".