1129208020164 has 81 divisors (see below), whose sum is σ = 3320540538861. Its totient is φ = 322618111200.

The previous prime is 1129208020151. The next prime is 1129208020169. The reversal of 1129208020164 is 4610208029211.

The square root of 1129208020164 is 1062642.

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., 726998380164 + 402209640000 = 852642^2 + 634200^2 .

It is a super-2 number, since 2×1129208020164² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1129208020169) 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 26 ways as a sum of consecutive naturals, for example, 44618314 + ... + 44643614.

Almost surely, 2^{1129208020164} is an apocalyptic number.

1129208020164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1129208020164 is the 1062642-nd square number.

It is an amenable number.

1129208020164 is an abundant number, since it is smaller than the sum of its proper divisors (2191332518697).

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

1129208020164 is an frugal number, since it uses more digits than its factorization.

1129208020164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50626 (or 25313 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 1129208020164 by its sum of digits (36), we get a square (40651488725904 = 6375852²).

1129208020164 divided by its sum of digits (36) gives a square (31366889449 = 177107²).

The spelling of 1129208020164 in words is "one trillion, one hundred twenty-nine billion, two hundred eight million, twenty thousand, one hundred sixty-four".