102669440864256 has 1248 divisors, whose sum is σ = 373056488034048. Its totient is φ = 26535285227520.

The previous prime is 102669440864203. The next prime is 102669440864257. The reversal of 102669440864256 is 652468044966201.

102669440864256 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 6 + 94 + 40 + 86 + 425 + 6 = 666.

It is a super-4 number, since 4×102669440864256⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 102669440864193 and 102669440864202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102669440864257) 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, 13471908126 + ... + 13471915746.

It is an arithmetic number, because the mean of its divisors is an integer number (298923467976).

Almost surely, 2^{102669440864256} is an apocalyptic number.

102669440864256 is a gapful number since it is divisible by the number (16) 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 102669440864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186528244017024).

102669440864256 is an abundant number, since it is smaller than the sum of its proper divisors (270387047169792).

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

102669440864256 is a wasteful number, since it uses less digits than its factorization.

102669440864256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7795 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 102669440864256 in words is "one hundred two trillion, six hundred sixty-nine billion, four hundred forty million, eight hundred sixty-four thousand, two hundred fifty-six".