11317951008 has 864 divisors, whose sum is σ = 45174205440. Its totient is φ = 2647572480.

The previous prime is 11317951003. The next prime is 11317951013. The reversal of 11317951008 is 80015971311.

11317951008 is a `hidden beast` number, since 1 + 131 + 7 + 9 + 510 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11317951003) and next prime (11317951013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11317951003) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 59256193 + ... + 59256383.

It is an arithmetic number, because the mean of its divisors is an integer number (52284960).

Almost surely, 2^11317951008 is an apocalyptic number.

11317951008 is a gapful number since it is divisible by the number (18) 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 11317951008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587102720).

11317951008 is an abundant number, since it is smaller than the sum of its proper divisors (33856254432).

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

11317951008 is a wasteful number, since it uses less digits than its factorization.

11317951008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

The spelling of 11317951008 in words is "eleven billion, three hundred seventeen million, nine hundred fifty-one thousand, eight".