638633387011501 has 64 divisors (see below), whose sum is σ = 757624518144000. Its totient is φ = 526788955330560.

The previous prime is 638633387011481. The next prime is 638633387011507. The reversal of 638633387011501 is 105110783336836.

It is a happy number.

638633387011501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 638633387011501 - 2¹⁷ = 638633386880429 is a prime.

It is a super-2 number, since 2×638633387011501² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638633387011507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77232235195 + ... + 77232243463.

It is an arithmetic number, because the mean of its divisors is an integer number (11837883096000).

Almost surely, 2^{638633387011501} is an apocalyptic number.

It is an amenable number.

638633387011501 is a deficient number, since it is larger than the sum of its proper divisors (118991131132499).

638633387011501 is a wasteful number, since it uses less digits than its factorization.

638633387011501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11342.

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 638633387011501 in words is "six hundred thirty-eight trillion, six hundred thirty-three billion, three hundred eighty-seven million, eleven thousand, five hundred one".