142657647612480 has 3360 divisors, whose sum is σ = 705316887031680. Its totient is φ = 26897106862080.

The previous prime is 142657647612479. The next prime is 142657647612509. The reversal of 142657647612480 is 84216746756241.

142657647612480 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 5 + 7 + 6 + 4 + 7 + 612 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 10715658304 + ... + 10715671616.

It is an arithmetic number, because the mean of its divisors is an integer number (209915740188).

Almost surely, 2^{142657647612480} is an apocalyptic number.

142657647612480 is a gapful number since it is divisible by the number (10) 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 142657647612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352658443515840).

142657647612480 is an abundant number, since it is smaller than the sum of its proper divisors (562659239419200).

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

142657647612480 is a wasteful number, since it uses less digits than its factorization.

142657647612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13439 (or 13413 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 142657647612480 in words is "one hundred forty-two trillion, six hundred fifty-seven billion, six hundred forty-seven million, six hundred twelve thousand, four hundred eighty".