1103164739200 has 96 divisors (see below), whose sum is σ = 2726082980460. Its totient is φ = 441116712960.

The previous prime is 1103164739191. The next prime is 1103164739203. The reversal of 1103164739200 is 29374613011.

It can be written as a sum of positive squares in 6 ways, for example, as 778474465344 + 324690273856 = 882312^2 + 569816^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1103164739200.

It is not an unprimeable number, because it can be changed into a prime (1103164739203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9661644 + ... + 9775156.

Almost surely, 2^{1103164739200} is an apocalyptic number.

1103164739200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103164739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363041490230).

1103164739200 is an abundant number, since it is smaller than the sum of its proper divisors (1622918241260).

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

1103164739200 is a wasteful number, since it uses less digits than its factorization.

1103164739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116574 (or 116557 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 1103164739200 in words is "one trillion, one hundred three billion, one hundred sixty-four million, seven hundred thirty-nine thousand, two hundred".