10642633113645 has 48 divisors (see below), whose sum is σ = 20048507759280. Its totient is φ = 5191381767168.

The previous prime is 10642633113617. The next prime is 10642633113653. The reversal of 10642633113645 is 54631133624601.

10642633113645 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 633 + 1 + 1 + 3 + 6 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1433678153769 + 9208954959876 = 1197363^2 + 3034626^2 .

It is not a de Polignac number, because 10642633113645 - 2¹³ = 10642633105453 is a prime.

It is a super-3 number, since 3×10642633113645³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10642633113645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83388232 + ... + 83515761.

It is an arithmetic number, because the mean of its divisors is an integer number (417677244985).

Almost surely, 2^{10642633113645} is an apocalyptic number.

10642633113645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10642633113645 is a deficient number, since it is larger than the sum of its proper divisors (9405874645635).

10642633113645 is a wasteful number, since it uses less digits than its factorization.

10642633113645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166904126 (or 166904123 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 10642633113645 in words is "ten trillion, six hundred forty-two billion, six hundred thirty-three million, one hundred thirteen thousand, six hundred forty-five".