13642652020644 has 144 divisors (see below), whose sum is σ = 37648742476800. Its totient is φ = 4307788067616.

The previous prime is 13642652020637. The next prime is 13642652020667. The reversal of 13642652020644 is 44602025624631.

It is a happy number.

13642652020644 is a `hidden beast` number, since 1 + 3 + 6 + 42 + 6 + 520 + 20 + 64 + 4 = 666.

It is a super-3 number, since 3×13642652020644³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13642652020644.

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, 230580337 + ... + 230639495.

Almost surely, 2^{13642652020644} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13642652020644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18824371238400).

13642652020644 is an abundant number, since it is smaller than the sum of its proper divisors (24006090456156).

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

13642652020644 is a wasteful number, since it uses less digits than its factorization.

13642652020644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71684 (or 71670 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 13642652020644 in words is "thirteen trillion, six hundred forty-two billion, six hundred fifty-two million, twenty thousand, six hundred forty-four".