11140646958 has 192 divisors, whose sum is σ = 31074995520. Its totient is φ = 2938650624.

The previous prime is 11140646953. The next prime is 11140646999. The reversal of 11140646958 is 85964604111.

11140646958 is a `hidden beast` number, since 111 + 406 + 46 + 95 + 8 = 666.

It is a super-2 number, since 2×11140646958² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140646953) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2381710 + ... + 2386382.

It is an arithmetic number, because the mean of its divisors is an integer number (161848935).

Almost surely, 2^11140646958 is an apocalyptic number.

11140646958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11140646958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15537497760).

11140646958 is an abundant number, since it is smaller than the sum of its proper divisors (19934348562).

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

11140646958 is a wasteful number, since it uses less digits than its factorization.

11140646958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11140646958 in words is "eleven billion, one hundred forty million, six hundred forty-six thousand, nine hundred fifty-eight".