142676628864 has 1024 divisors, whose sum is σ = 521717760000. Its totient is φ = 34139750400.

The previous prime is 142676628851. The next prime is 142676628877. The reversal of 142676628864 is 468826676241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142676628851) and next prime (142676628877).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142676628798 and 142676628807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1954474332 + ... + 1954474404.

It is an arithmetic number, because the mean of its divisors is an integer number (509490000).

Almost surely, 2^142676628864 is an apocalyptic number.

142676628864 is a gapful number since it is divisible by the number (14) 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 142676628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260858880000).

142676628864 is an abundant number, since it is smaller than the sum of its proper divisors (379041131136).

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

142676628864 is a wasteful number, since it uses less digits than its factorization.

142676628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 186 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 60.

The spelling of 142676628864 in words is "one hundred forty-two billion, six hundred seventy-six million, six hundred twenty-eight thousand, eight hundred sixty-four".