11138372256400 has 45 divisors (see below), whose sum is σ = 26760099709993. Its totient is φ = 4455322203200.

The previous prime is 11138372256331. The next prime is 11138372256449. The reversal of 11138372256400 is 465227383111.

It is a happy number.

The square root of 11138372256400 is 3337420.

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., 4009814012304 + 7128558244096 = 2002452^2 + 2669936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 66664965 + ... + 66831835.

Almost surely, 2^{11138372256400} is an apocalyptic number.

11138372256400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11138372256400 is the 3337420-th square number.

It is an amenable number.

11138372256400 is an abundant number, since it is smaller than the sum of its proper divisors (15621727453593).

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

11138372256400 is an frugal number, since it uses more digits than its factorization.

11138372256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333760 (or 166878 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 11138372256400 in words is "eleven trillion, one hundred thirty-eight billion, three hundred seventy-two million, two hundred fifty-six thousand, four hundred".