11673249186240 has 168 divisors, whose sum is σ = 40180200978528. Its totient is φ = 3110611322880.

The previous prime is 11673249186173. The next prime is 11673249186281. The reversal of 11673249186240 is 4268194237611.

11673249186240 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 3 + 2 + 4 + 9 + 1 + 8 + 624 + 0 = 666.

11673249186240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2509789 + ... + 5444771.

Almost surely, 2^{11673249186240} is an apocalyptic number.

11673249186240 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 11673249186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20090100489264).

11673249186240 is an abundant number, since it is smaller than the sum of its proper divisors (28506951792288).

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

11673249186240 is a wasteful number, since it uses less digits than its factorization.

11673249186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936387 (or 2936374 counting only the distinct ones).

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

The spelling of 11673249186240 in words is "eleven trillion, six hundred seventy-three billion, two hundred forty-nine million, one hundred eighty-six thousand, two hundred forty".