102384178848 has 960 divisors, whose sum is σ = 379369267200. Its totient is φ = 26440888320.

The previous prime is 102384178847. The next prime is 102384178859. The reversal of 102384178848 is 848871483201.

102384178848 is a `hidden beast` number, since 10 + 2 + 384 + 178 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 102384178794 and 102384178803.

It is not an unprimeable number, because it can be changed into a prime (102384178843) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1150383988 + ... + 1150384076.

It is an arithmetic number, because the mean of its divisors is an integer number (395176320).

Almost surely, 2^102384178848 is an apocalyptic number.

102384178848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102384178848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189684633600).

102384178848 is an abundant number, since it is smaller than the sum of its proper divisors (276985088352).

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

102384178848 is a wasteful number, since it uses less digits than its factorization.

102384178848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 102384178848 in words is "one hundred two billion, three hundred eighty-four million, one hundred seventy-eight thousand, eight hundred forty-eight".