11140764351048 has 192 divisors, whose sum is σ = 30920494176000. Its totient is φ = 3622141049856.

The previous prime is 11140764351037. The next prime is 11140764351091. The reversal of 11140764351048 is 84015346704111.

11140764351048 is a `hidden beast` number, since 1 + 1 + 1 + 40 + 76 + 435 + 104 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11140764350994 and 11140764351012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1242136708 + ... + 1242145676.

It is an arithmetic number, because the mean of its divisors is an integer number (161044240500).

Almost surely, 2^{11140764351048} is an apocalyptic number.

11140764351048 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 11140764351048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15460247088000).

11140764351048 is an abundant number, since it is smaller than the sum of its proper divisors (19779729824952).

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

11140764351048 is a wasteful number, since it uses less digits than its factorization.

11140764351048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10244 (or 10237 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11140764351048 in words is "eleven trillion, one hundred forty billion, seven hundred sixty-four million, three hundred fifty-one thousand, forty-eight".