11170560814336 has 1296 divisors, whose sum is σ = 31542522149376. Its totient is φ = 3917168640000.

The previous prime is 11170560814333. The next prime is 11170560814363. The reversal of 11170560814336 is 63341806507111.

It is a super-3 number, since 3×11170560814336³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11170560814333) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73977223861 + ... + 73977224011.

It is an arithmetic number, because the mean of its divisors is an integer number (24338365856).

Almost surely, 2^{11170560814336} is an apocalyptic number.

11170560814336 is a gapful number since it is divisible by the number (16) 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 11170560814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15771261074688).

11170560814336 is an abundant number, since it is smaller than the sum of its proper divisors (20371961335040).

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

11170560814336 is a wasteful number, since it uses less digits than its factorization.

11170560814336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 11170560814336 in words is "eleven trillion, one hundred seventy billion, five hundred sixty million, eight hundred fourteen thousand, three hundred thirty-six".