11417201320896 has 84 divisors (see below), whose sum is σ = 37400395610032. Its totient is φ = 3262057519104.

The previous prime is 11417201320879. The next prime is 11417201320949. The reversal of 11417201320896 is 69802310271411.

11417201320896 is a `hidden beast` number, since 1 + 1 + 41 + 7 + 201 + 320 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1415819545 + ... + 1415827608.

Almost surely, 2^{11417201320896} is an apocalyptic number.

11417201320896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11417201320896 is an abundant number, since it is smaller than the sum of its proper divisors (25983194289136).

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

11417201320896 is a wasteful number, since it uses less digits than its factorization.

11417201320896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831647178 (or 2831647165 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11417201320896 in words is "eleven trillion, four hundred seventeen billion, two hundred one million, three hundred twenty thousand, eight hundred ninety-six".