10642633114336 has 48 divisors (see below), whose sum is σ = 21013941715200. Its totient is φ = 5305773907840.

The previous prime is 10642633114273. The next prime is 10642633114349. The reversal of 10642633114336 is 63341133624601.

It is a super-3 number, since 3×10642633114336³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10642633114292 and 10642633114301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22759815 + ... + 23222713.

It is an arithmetic number, because the mean of its divisors is an integer number (437790452400).

Almost surely, 2^{10642633114336} is an apocalyptic number.

10642633114336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10642633114336 is a deficient number, since it is larger than the sum of its proper divisors (10371308600864).

10642633114336 is a wasteful number, since it uses less digits than its factorization.

10642633114336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465007 (or 464999 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 43.

Adding to 10642633114336 its reverse (63341133624601), we get a palindrome (73983766738937).

The spelling of 10642633114336 in words is "ten trillion, six hundred forty-two billion, six hundred thirty-three million, one hundred fourteen thousand, three hundred thirty-six".