128252624082642 has 32 divisors (see below), whose sum is σ = 286712453059200. Its totient is φ = 42494881429584.

The previous prime is 128252624082641. The next prime is 128252624082719. The reversal of 128252624082642 is 246280426252821.

128252624082642 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 5 + 2 + 624 + 0 + 8 + 2 + 6 + 4 + 2 = 666.

It is a super-3 number, since 3×128252624082642³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (128252624082641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7110914917 + ... + 7110932952.

It is an arithmetic number, because the mean of its divisors is an integer number (8959764158100).

Almost surely, 2^{128252624082642} is an apocalyptic number.

128252624082642 is an abundant number, since it is smaller than the sum of its proper divisors (158459828976558).

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

128252624082642 is a wasteful number, since it uses less digits than its factorization.

128252624082642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14221848047 (or 14221848041 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 128252624082642 in words is "one hundred twenty-eight trillion, two hundred fifty-two billion, six hundred twenty-four million, eighty-two thousand, six hundred forty-two".