438673163561136 has 300 divisors, whose sum is σ = 1476974141189712. Its totient is φ = 125332018834176.

The previous prime is 438673163561131. The next prime is 438673163561153. The reversal of 438673163561136 is 631165361376834.

438673163561136 is a `hidden beast` number, since 4 + 3 + 8 + 6 + 7 + 3 + 1 + 6 + 3 + 5 + 611 + 3 + 6 = 666.

It is a super-2 number, since 2×438673163561136² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (438673163561131) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3836409981 + ... + 3836524323.

Almost surely, 2^{438673163561136} 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 438673163561136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738487070594856).

438673163561136 is an abundant number, since it is smaller than the sum of its proper divisors (1038300977628576).

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

438673163561136 is a wasteful number, since it uses less digits than its factorization.

438673163561136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174790 (or 174768 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 438673163561136 in words is "four hundred thirty-eight trillion, six hundred seventy-three billion, one hundred sixty-three million, five hundred sixty-one thousand, one hundred thirty-six".