142171855628544 has 1728 divisors, whose sum is σ = 507476494586880. Its totient is φ = 37408619888640.

The previous prime is 142171855628483. The next prime is 142171855628549. The reversal of 142171855628544 is 445826558171241.

142171855628544 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 7 + 1 + 8 + 556 + 28 + 54 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (142171855628549) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 337700369454 + ... + 337700369874.

It is an arithmetic number, because the mean of its divisors is an integer number (293678526960).

Almost surely, 2^{142171855628544} is an apocalyptic number.

142171855628544 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 142171855628544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253738247293440).

142171855628544 is an abundant number, since it is smaller than the sum of its proper divisors (365304638958336).

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

142171855628544 is a wasteful number, since it uses less digits than its factorization.

142171855628544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 791 counting only the distinct ones).

The product of its digits is 86016000, while the sum is 63.

The spelling of 142171855628544 in words is "one hundred forty-two trillion, one hundred seventy-one billion, eight hundred fifty-five million, six hundred twenty-eight thousand, five hundred forty-four".