10911366234912 has 288 divisors, whose sum is σ = 33852564700416. Its totient is φ = 3050512358400.

The previous prime is 10911366234889. The next prime is 10911366234947. The reversal of 10911366234912 is 21943266311901.

It is a happy number.

It is a super-2 number, since 2×10911366234912² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 358875903 + ... + 358906305.

It is an arithmetic number, because the mean of its divisors is an integer number (117543627432).

Almost surely, 2^{10911366234912} is an apocalyptic number.

10911366234912 is a gapful number since it is divisible by the number (12) 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 10911366234912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926282350208).

10911366234912 is an abundant number, since it is smaller than the sum of its proper divisors (22941198465504).

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

10911366234912 is a wasteful number, since it uses less digits than its factorization.

10911366234912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32464 (or 32443 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 10911366234912 in words is "ten trillion, nine hundred eleven billion, three hundred sixty-six million, two hundred thirty-four thousand, nine hundred twelve".