11747871816408 has 384 divisors, whose sum is σ = 42271218662400. Its totient is φ = 2861434211328.

The previous prime is 11747871816371. The next prime is 11747871816451. The reversal of 11747871816408 is 80461817874711.

11747871816408 is a `hidden beast` number, since 1 + 1 + 7 + 47 + 8 + 7 + 181 + 6 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3026091 + ... + 5714277.

It is an arithmetic number, because the mean of its divisors is an integer number (110081298600).

Almost surely, 2^{11747871816408} is an apocalyptic number.

11747871816408 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 11747871816408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21135609331200).

11747871816408 is an abundant number, since it is smaller than the sum of its proper divisors (30523346845992).

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

11747871816408 is a wasteful number, since it uses less digits than its factorization.

11747871816408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688271 (or 2688264 counting only the distinct ones).

The product of its (nonzero) digits is 16859136, while the sum is 63.

The spelling of 11747871816408 in words is "eleven trillion, seven hundred forty-seven billion, eight hundred seventy-one million, eight hundred sixteen thousand, four hundred eight".