142668378500256 has 480 divisors, whose sum is σ = 505231297579008. Its totient is φ = 38611559416320.

The previous prime is 142668378500191. The next prime is 142668378500257. The reversal of 142668378500256 is 652005873866241.

142668378500256 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 6 + 8 + 3 + 78 + 500 + 2 + 56 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 = 142668378500193 and 142668378500202.

It is not an unprimeable number, because it can be changed into a prime (142668378500257) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41323551 + ... + 44642721.

Almost surely, 2^{142668378500256} is an apocalyptic number.

142668378500256 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 142668378500256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252615648789504).

142668378500256 is an abundant number, since it is smaller than the sum of its proper divisors (362562919078752).

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

142668378500256 is a wasteful number, since it uses less digits than its factorization.

142668378500256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319326 (or 3319309 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 142668378500256 in words is "one hundred forty-two trillion, six hundred sixty-eight billion, three hundred seventy-eight million, five hundred thousand, two hundred fifty-six".