88334340009984 has 416 divisors, whose sum is σ = 264588696288000. Its totient is φ = 29120144080896.

The previous prime is 88334340009983. The next prime is 88334340009991. The reversal of 88334340009984 is 48990004343388.

88334340009984 is a `hidden beast` number, since 8 + 8 + 33 + 434 + 0 + 0 + 0 + 99 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (88334340009983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23375055007 + ... + 23375058785.

Almost surely, 2^{88334340009984} 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 88334340009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132294348144000).

88334340009984 is an abundant number, since it is smaller than the sum of its proper divisors (176254356278016).

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

88334340009984 is a wasteful number, since it uses less digits than its factorization.

88334340009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 88334340009984 in words is "eighty-eight trillion, three hundred thirty-four billion, three hundred forty million, nine thousand, nine hundred eighty-four".