8152181327904 has 96 divisors (see below), whose sum is σ = 22765654812096. Its totient is φ = 2545425899520.

The previous prime is 8152181327837. The next prime is 8152181327909. The reversal of 8152181327904 is 4097231812518.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (8152181327909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11492637 + ... + 12181340.

It is an arithmetic number, because the mean of its divisors is an integer number (237142237626).

Almost surely, 2^{8152181327904} is an apocalyptic number.

It is an amenable number.

8152181327904 is an abundant number, since it is smaller than the sum of its proper divisors (14613473484192).

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

8152181327904 is a wasteful number, since it uses less digits than its factorization.

8152181327904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23674218 (or 23674210 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 8152181327904 in words is "eight trillion, one hundred fifty-two billion, one hundred eighty-one million, three hundred twenty-seven thousand, nine hundred four".