142320977902656 has 448 divisors, whose sum is σ = 519979616985600. Its totient is φ = 37236828930048.

The previous prime is 142320977902643. The next prime is 142320977902657. The reversal of 142320977902656 is 656209779023241.

142320977902656 is a `hidden beast` number, since 1 + 42 + 320 + 9 + 7 + 7 + 9 + 0 + 265 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×142320977902656³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 142320977902593 and 142320977902602.

It is not an unprimeable number, because it can be changed into a prime (142320977902657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1744521 + ... + 16961288.

Almost surely, 2^{142320977902656} is an apocalyptic number.

142320977902656 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 142320977902656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259989808492800).

142320977902656 is an abundant number, since it is smaller than the sum of its proper divisors (377658639082944).

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

142320977902656 is a wasteful number, since it uses less digits than its factorization.

142320977902656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18705891 (or 18705875 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 142320977902656 in words is "one hundred forty-two trillion, three hundred twenty billion, nine hundred seventy-seven million, nine hundred two thousand, six hundred fifty-six".