88638477774561 has 96 divisors (see below), whose sum is σ = 155131645017600. Its totient is φ = 49584655673280.

The previous prime is 88638477774533. The next prime is 88638477774617. The reversal of 88638477774561 is 16547777483688.

88638477774561 is a `hidden beast` number, since 8 + 8 + 6 + 3 + 8 + 47 + 7 + 7 + 7 + 4 + 561 = 666.

It is not a de Polignac number, because 88638477774561 - 2¹⁷ = 88638477643489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (88638477774961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 886308186 + ... + 886408188.

It is an arithmetic number, because the mean of its divisors is an integer number (1615954635600).

Almost surely, 2^{88638477774561} is an apocalyptic number.

It is an amenable number.

88638477774561 is a deficient number, since it is larger than the sum of its proper divisors (66493167243039).

88638477774561 is a wasteful number, since it uses less digits than its factorization.

88638477774561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117708 (or 117689 counting only the distinct ones).

The product of its digits is 10621255680, while the sum is 81.

The spelling of 88638477774561 in words is "eighty-eight trillion, six hundred thirty-eight billion, four hundred seventy-seven million, seven hundred seventy-four thousand, five hundred sixty-one".