102384209466 has 320 divisors, whose sum is σ = 290761954560. Its totient is φ = 26157219840.

The previous prime is 102384209413. The next prime is 102384209479. The reversal of 102384209466 is 664902483201.

102384209466 is a `hidden beast` number, since 1 + 0 + 2 + 384 + 209 + 4 + 66 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 349434016 + ... + 349434308.

It is an arithmetic number, because the mean of its divisors is an integer number (908631108).

Almost surely, 2^102384209466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102384209466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145380977280).

102384209466 is an abundant number, since it is smaller than the sum of its proper divisors (188377745094).

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

102384209466 is a wasteful number, since it uses less digits than its factorization.

102384209466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 102384209466 in words is "one hundred two billion, three hundred eighty-four million, two hundred nine thousand, four hundred sixty-six".