11246163460900 has 81 divisors (see below), whose sum is σ = 24489835138993. Its totient is φ = 4482730621600.

The previous prime is 11246163460897. The next prime is 11246163460913. The reversal of 11246163460900 is 906436164211.

The square root of 11246163460900 is 3353530.

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., 4048618845924 + 7197544614976 = 2012118^2 + 2682824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16465831959 + ... + 16465832641.

Almost surely, 2^{11246163460900} is an apocalyptic number.

11246163460900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11246163460900 is the 3353530-th square number.

It is an amenable number.

11246163460900 is an abundant number, since it is smaller than the sum of its proper divisors (13243671678093).

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

11246163460900 is an frugal number, since it uses more digits than its factorization.

11246163460900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 11246163460900 in words is "eleven trillion, two hundred forty-six billion, one hundred sixty-three million, four hundred sixty thousand, nine hundred".