95669468683488 has 1536 divisors, whose sum is σ = 334898307072000. Its totient is φ = 26339066265600.

The previous prime is 95669468683381. The next prime is 95669468683493. The reversal of 95669468683488 is 88438686496659.

95669468683488 is a `hidden beast` number, since 9 + 5 + 6 + 6 + 9 + 4 + 68 + 68 + 3 + 488 = 666.

It is a super-2 number, since 2×95669468683488² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 95669468683398 and 95669468683407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 480751098813 + ... + 480751099011.

It is an arithmetic number, because the mean of its divisors is an integer number (218032752000).

Almost surely, 2^{95669468683488} 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 95669468683488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167449153536000).

95669468683488 is an abundant number, since it is smaller than the sum of its proper divisors (239228838388512).

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

95669468683488 is a wasteful number, since it uses less digits than its factorization.

95669468683488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 526 counting only the distinct ones).

The product of its digits is 103195607040, while the sum is 90.

The spelling of 95669468683488 in words is "ninety-five trillion, six hundred sixty-nine billion, four hundred sixty-eight million, six hundred eighty-three thousand, four hundred eighty-eight".