1012679171136 has 448 divisors, whose sum is σ = 3407866387200. Its totient is φ = 292841422848.

The previous prime is 1012679171111. The next prime is 1012679171137. The reversal of 1012679171136 is 6311719762101.

1012679171136 is a `hidden beast` number, since 101 + 267 + 91 + 71 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1012679171091 and 1012679171100.

It is not an unprimeable number, because it can be changed into a prime (1012679171137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20626810 + ... + 20675846.

Almost surely, 2^{1012679171136} is an apocalyptic number.

1012679171136 is a gapful number since it is divisible by the number (16) 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 1012679171136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703933193600).

1012679171136 is an abundant number, since it is smaller than the sum of its proper divisors (2395187216064).

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

1012679171136 is a wasteful number, since it uses less digits than its factorization.

1012679171136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49131 (or 49115 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 1012679171136 in words is "one trillion, twelve billion, six hundred seventy-nine million, one hundred seventy-one thousand, one hundred thirty-six".