11406294219328 has 112 divisors (see below), whose sum is σ = 23479458597504. Its totient is φ = 5493340200960.

The previous prime is 11406294219311. The next prime is 11406294219361. The reversal of 11406294219328 is 82391249260411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034391351 + ... + 1034402377.

It is an arithmetic number, because the mean of its divisors is an integer number (209638023192).

Almost surely, 2^{11406294219328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11406294219328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11739729298752).

11406294219328 is an abundant number, since it is smaller than the sum of its proper divisors (12073164378176).

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

11406294219328 is a wasteful number, since it uses less digits than its factorization.

11406294219328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15420 (or 15410 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 11406294219328 in words is "eleven trillion, four hundred six billion, two hundred ninety-four million, two hundred nineteen thousand, three hundred twenty-eight".