127141562664 has 96 divisors (see below), whose sum is σ = 357433057800. Its totient is φ = 40779271680.

The previous prime is 127141562627. The next prime is 127141562699. The reversal of 127141562664 is 466265141721.

127141562664 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 4 + 15 + 626 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108729786564 + 18411776100 = 329742^2 + 135690^2 .

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 23 ways as a sum of consecutive naturals, for example, 507874 + ... + 715694.

Almost surely, 2^127141562664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127141562664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178716528900).

127141562664 is an abundant number, since it is smaller than the sum of its proper divisors (230291495136).

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

127141562664 is a wasteful number, since it uses less digits than its factorization.

127141562664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208155 (or 208148 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 127141562664 in words is "one hundred twenty-seven billion, one hundred forty-one million, five hundred sixty-two thousand, six hundred sixty-four".