7814132183808 has 144 divisors (see below), whose sum is σ = 23195631191040. Its totient is φ = 2594806281216.

The previous prime is 7814132183749. The next prime is 7814132183843. The reversal of 7814132183808 is 8083812314187.

7814132183808 is a `hidden beast` number, since 7 + 8 + 1 + 41 + 3 + 218 + 380 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7814132183808² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331416 + ... + 3967127.

It is an arithmetic number, because the mean of its divisors is an integer number (161080772160).

Almost surely, 2^{7814132183808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7814132183808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11597815595520).

7814132183808 is an abundant number, since it is smaller than the sum of its proper divisors (15381499007232).

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

7814132183808 is a wasteful number, since it uses less digits than its factorization.

7814132183808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298831 (or 4298811 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 7814132183808 in words is "seven trillion, eight hundred fourteen billion, one hundred thirty-two million, one hundred eighty-three thousand, eight hundred eight".