11203439616768 has 432 divisors, whose sum is σ = 36596542254720. Its totient is φ = 3025422876672.

The previous prime is 11203439616731. The next prime is 11203439616773. The reversal of 11203439616768 is 86761693430211.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309580371 + ... + 309616557.

Almost surely, 2^{11203439616768} 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 11203439616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18298271127360).

11203439616768 is an abundant number, since it is smaller than the sum of its proper divisors (25393102637952).

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

11203439616768 is a wasteful number, since it uses less digits than its factorization.

11203439616768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36672 (or 36651 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 11203439616768 in words is "eleven trillion, two hundred three billion, four hundred thirty-nine million, six hundred sixteen thousand, seven hundred sixty-eight".