4136676051168 has 144 divisors (see below), whose sum is σ = 11913844715136. Its totient is φ = 1361312989440.

The previous prime is 4136676051121. The next prime is 4136676051181. The reversal of 4136676051168 is 8611506766314.

It is a happy number.

4136676051168 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 6 + 7 + 60 + 511 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4136676051168² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34050373 + ... + 34171643.

It is an arithmetic number, because the mean of its divisors is an integer number (82735032744).

Almost surely, 2^{4136676051168} is an apocalyptic number.

4136676051168 is a gapful number since it is divisible by the number (48) 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 4136676051168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956922357568).

4136676051168 is an abundant number, since it is smaller than the sum of its proper divisors (7777168663968).

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

4136676051168 is a wasteful number, since it uses less digits than its factorization.

4136676051168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122797 (or 122786 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4136676051168 in words is "four trillion, one hundred thirty-six billion, six hundred seventy-six million, fifty-one thousand, one hundred sixty-eight".