142721463456 has 480 divisors, whose sum is σ = 509069062656. Its totient is φ = 38631168000.

The previous prime is 142721463431. The next prime is 142721463473. The reversal of 142721463456 is 654364127241.

142721463456 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 2 + 1 + 4 + 634 + 5 + 6 = 666.

It is a super-2 number, since 2×142721463456² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11484126 + ... + 11496546.

Almost surely, 2^142721463456 is an apocalyptic number.

142721463456 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 142721463456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254534531328).

142721463456 is an abundant number, since it is smaller than the sum of its proper divisors (366347599200).

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

142721463456 is a wasteful number, since it uses less digits than its factorization.

142721463456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12498 (or 12481 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 142721463456 in words is "one hundred forty-two billion, seven hundred twenty-one million, four hundred sixty-three thousand, four hundred fifty-six".