11332355687968 has 192 divisors, whose sum is σ = 26472463234560. Its totient is φ = 4672313597952.

The previous prime is 11332355687959. The next prime is 11332355687977. The reversal of 11332355687968 is 86978655323311.

It is an interprime number because it is at equal distance from previous prime (11332355687959) and next prime (11332355687977).

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3154007580 + ... + 3154011172.

It is an arithmetic number, because the mean of its divisors is an integer number (137877412680).

Almost surely, 2^{11332355687968} 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 11332355687968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13236231617280).

11332355687968 is an abundant number, since it is smaller than the sum of its proper divisors (15140107546592).

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

11332355687968 is a wasteful number, since it uses less digits than its factorization.

11332355687968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5251 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 67.

The spelling of 11332355687968 in words is "eleven trillion, three hundred thirty-two billion, three hundred fifty-five million, six hundred eighty-seven thousand, nine hundred sixty-eight".