4013631173646 has 96 divisors (see below), whose sum is σ = 9129746545920. Its totient is φ = 1271912412672.

The previous prime is 4013631173641. The next prime is 4013631173653. The reversal of 4013631173646 is 6463711363104.

It is a happy number.

4013631173646 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 631 + 1 + 7 + 3 + 6 + 4 + 6 = 666.

It is a super-2 number, since 2×4013631173646² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013631173641) 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, 44820865 + ... + 44910323.

It is an arithmetic number, because the mean of its divisors is an integer number (95101526520).

Almost surely, 2^{4013631173646} is an apocalyptic number.

4013631173646 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013631173646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564873272960).

4013631173646 is an abundant number, since it is smaller than the sum of its proper divisors (5116115372274).

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

4013631173646 is a wasteful number, since it uses less digits than its factorization.

4013631173646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90150 (or 90147 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 4013631173646 in words is "four trillion, thirteen billion, six hundred thirty-one million, one hundred seventy-three thousand, six hundred forty-six".