127146646564 has 192 divisors, whose sum is σ = 274698547200. Its totient is φ = 50332119552.

The previous prime is 127146646547. The next prime is 127146646607. The reversal of 127146646564 is 465646641721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 809851174 + ... + 809851330.

It is an arithmetic number, because the mean of its divisors is an integer number (1430721600).

Almost surely, 2^127146646564 is an apocalyptic number.

127146646564 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 127146646564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137349273600).

127146646564 is an abundant number, since it is smaller than the sum of its proper divisors (147551900636).

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

127146646564 is a wasteful number, since it uses less digits than its factorization.

127146646564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 52.

The spelling of 127146646564 in words is "one hundred twenty-seven billion, one hundred forty-six million, six hundred forty-six thousand, five hundred sixty-four".