11046010000000 has 192 divisors, whose sum is σ = 27533280588840. Its totient is φ = 4414200000000.

The previous prime is 11046009999991. The next prime is 11046010000043. The reversal of 11046010000000 is 1064011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 6662882537536 + 4383127462464 = 2581256^2 + 2093592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10509999475 + ... + 10510000525.

Almost surely, 2^{11046010000000} is an apocalyptic number.

11046010000000 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 11046010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766640294420).

11046010000000 is an abundant number, since it is smaller than the sum of its proper divisors (16487270588840).

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

11046010000000 is an frugal number, since it uses more digits than its factorization.

11046010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11046010000000 its reverse (1064011), we get a palindrome (11046011064011).

The spelling of 11046010000000 in words is "eleven trillion, forty-six billion, ten million", and thus it is an aban number and an uban number.