10631345684652 has 336 divisors, whose sum is σ = 34802588712192. Its totient is φ = 2759403335040.

The previous prime is 10631345684651. The next prime is 10631345684761. The reversal of 10631345684652 is 25648654313601.

10631345684652 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 1 + 34 + 568 + 46 + 5 + 2 = 666.

It is a super-2 number, since 2×10631345684652² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10631345684651) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 326228703 + ... + 326261289.

It is an arithmetic number, because the mean of its divisors is an integer number (103579133072).

Almost surely, 2^{10631345684652} is an apocalyptic number.

10631345684652 is a gapful number since it is divisible by the number (12) 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 10631345684652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17401294356096).

10631345684652 is an abundant number, since it is smaller than the sum of its proper divisors (24171243027540).

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

10631345684652 is a wasteful number, since it uses less digits than its factorization.

10631345684652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34080 (or 34063 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 10631345684652 in words is "ten trillion, six hundred thirty-one billion, three hundred forty-five million, six hundred eighty-four thousand, six hundred fifty-two".