11136649811040 has 360 divisors, whose sum is σ = 42558979212288. Its totient is φ = 2741328645120.

The previous prime is 11136649811011. The next prime is 11136649811057. The reversal of 11136649811040 is 4011894663111.

It is a happy number.

11136649811040 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 6 + 6 + 498 + 110 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 352096 + ... + 4732575.

Almost surely, 2^{11136649811040} is an apocalyptic number.

11136649811040 is a gapful number since it is divisible by the number (10) 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 11136649811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21279489606144).

11136649811040 is an abundant number, since it is smaller than the sum of its proper divisors (31422329401248).

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

11136649811040 is a wasteful number, since it uses less digits than its factorization.

11136649811040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5084724 (or 5084694 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11136649811040 in words is "eleven trillion, one hundred thirty-six billion, six hundred forty-nine million, eight hundred eleven thousand, forty".