10634331437127 has 8 divisors (see below), whose sum is σ = 15754565092080. Its totient is φ = 7089554291400.

The previous prime is 10634331437083. The next prime is 10634331437203. The reversal of 10634331437127 is 72173413343601.

10634331437127 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 433 + 143 + 71 + 2 + 7 = 666.

It is not a de Polignac number, because 10634331437127 - 2⁷ = 10634331436999 is a prime.

It is a super-2 number, since 2×10634331437127² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638331437127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196932063624 + ... + 196932063677.

It is an arithmetic number, because the mean of its divisors is an integer number (1969320636510).

Almost surely, 2^{10634331437127} is an apocalyptic number.

10634331437127 is a deficient number, since it is larger than the sum of its proper divisors (5120233654953).

10634331437127 is an equidigital number, since it uses as much as digits as its factorization.

10634331437127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393864127310 (or 393864127304 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 10634331437127 in words is "ten trillion, six hundred thirty-four billion, three hundred thirty-one million, four hundred thirty-seven thousand, one hundred twenty-seven".