10634838086677 has 48 divisors (see below), whose sum is σ = 13881038940720. Its totient is φ = 8081487052800.

The previous prime is 10634838086671. The next prime is 10634838086683. The reversal of 10634838086677 is 77668083843601.

10634838086677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10634838086671) and next prime (10634838086683).

It can be written as a sum of positive squares in 8 ways, for example, as 1146411338436 + 9488426748241 = 1070706^2 + 3080329^2 .

It is not a de Polignac number, because 10634838086677 - 2⁷ = 10634838086549 is a prime.

It is a super-2 number, since 2×10634838086677² (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 (10634838086671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4378324 + ... + 6359197.

It is an arithmetic number, because the mean of its divisors is an integer number (289188311265).

Almost surely, 2^{10634838086677} is an apocalyptic number.

10634838086677 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10634838086677 is a deficient number, since it is larger than the sum of its proper divisors (3246200854043).

10634838086677 is a wasteful number, since it uses less digits than its factorization.

10634838086677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10737622 (or 10737615 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 67.

The spelling of 10634838086677 in words is "ten trillion, six hundred thirty-four billion, eight hundred thirty-eight million, eighty-six thousand, six hundred seventy-seven".