11347618847040 has 1120 divisors, whose sum is σ = 48680177610240. Its totient is φ = 2453013725184.

The previous prime is 11347618847011. The next prime is 11347618847041. The reversal of 11347618847040 is 4074881674311.

11347618847040 is a `hidden beast` number, since 1 + 1 + 34 + 7 + 61 + 88 + 470 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11347618847041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 371392404 + ... + 371422956.

Almost surely, 2^{11347618847040} is an apocalyptic number.

11347618847040 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 11347618847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24340088805120).

11347618847040 is an abundant number, since it is smaller than the sum of its proper divisors (37332558763200).

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

11347618847040 is a wasteful number, since it uses less digits than its factorization.

11347618847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30701 (or 30682 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 11347618847040 in words is "eleven trillion, three hundred forty-seven billion, six hundred eighteen million, eight hundred forty-seven thousand, forty".