10829018677914 has 24 divisors (see below), whose sum is σ = 23580777698400. Its totient is φ = 3591533831688.

The previous prime is 10829018677913. The next prime is 10829018677973. The reversal of 10829018677914 is 41977681092801.

10829018677914 is a `hidden beast` number, since 10 + 8 + 290 + 186 + 77 + 91 + 4 = 666.

It is a super-2 number, since 2×10829018677914² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10829018677913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1511584732 + ... + 1511591895.

It is an arithmetic number, because the mean of its divisors is an integer number (982532404100).

Almost surely, 2^{10829018677914} is an apocalyptic number.

10829018677914 is an abundant number, since it is smaller than the sum of its proper divisors (12751759020486).

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

10829018677914 is a wasteful number, since it uses less digits than its factorization.

10829018677914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023176834 (or 3023176831 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

It can be divided in two parts, 108290186 and 77914, that added together give a square (108368100 = 10410²).

The spelling of 10829018677914 in words is "ten trillion, eight hundred twenty-nine billion, eighteen million, six hundred seventy-seven thousand, nine hundred fourteen".