102366448128 has 480 divisors, whose sum is σ = 363768717312. Its totient is φ = 27067392000.

The previous prime is 102366448069. The next prime is 102366448153. The reversal of 102366448128 is 821844663201.

102366448128 is a `hidden beast` number, since 1 + 0 + 23 + 66 + 448 + 128 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22996303 + ... + 23000753.

Almost surely, 2^102366448128 is an apocalyptic number.

102366448128 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 102366448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181884358656).

102366448128 is an abundant number, since it is smaller than the sum of its proper divisors (261402269184).

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

102366448128 is a wasteful number, since it uses less digits than its factorization.

102366448128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 102366448128 in words is "one hundred two billion, three hundred sixty-six million, four hundred forty-eight thousand, one hundred twenty-eight".