11334874968 has 192 divisors, whose sum is σ = 33143685120. Its totient is φ = 3625171200.

The previous prime is 11334874951. The next prime is 11334874981. The reversal of 11334874968 is 86947843311.

11334874968 is a `hidden beast` number, since 113 + 3 + 487 + 49 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7652788 + ... + 7654268.

It is an arithmetic number, because the mean of its divisors is an integer number (172623360).

Almost surely, 2^11334874968 is an apocalyptic number.

11334874968 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 11334874968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16571842560).

11334874968 is an abundant number, since it is smaller than the sum of its proper divisors (21808810152).

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

11334874968 is a wasteful number, since it uses less digits than its factorization.

11334874968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1644 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 11334874968 in words is "eleven billion, three hundred thirty-four million, eight hundred seventy-four thousand, nine hundred sixty-eight".