11161793664 has 192 divisors, whose sum is σ = 37311094080. Its totient is φ = 3136665600.

The previous prime is 11161793651. The next prime is 11161793677. The reversal of 11161793664 is 46639716111.

11161793664 is a `hidden beast` number, since 1 + 116 + 179 + 366 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11161793651) and next prime (11161793677).

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480559 + ... + 503249.

It is an arithmetic number, because the mean of its divisors is an integer number (194328615).

Almost surely, 2^11161793664 is an apocalyptic number.

11161793664 is a gapful number since it is divisible by the number (14) 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 11161793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18655547040).

11161793664 is an abundant number, since it is smaller than the sum of its proper divisors (26149300416).

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

11161793664 is a wasteful number, since it uses less digits than its factorization.

11161793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22779 (or 22764 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 11161793664 in words is "eleven billion, one hundred sixty-one million, seven hundred ninety-three thousand, six hundred sixty-four".