1238664238080 has 1408 divisors, whose sum is σ = 4572771356160. Its totient is φ = 284625469440.

The previous prime is 1238664238073. The next prime is 1238664238081. The reversal of 1238664238080 is 808324668321.

It is a super-3 number, since 3×1238664238080³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238664238081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20994309091 + ... + 20994309149.

Almost surely, 2^{1238664238080} is an apocalyptic number.

1238664238080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1238664238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286385678080).

1238664238080 is an abundant number, since it is smaller than the sum of its proper divisors (3334107118080).

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

1238664238080 is a wasteful number, since it uses less digits than its factorization.

1238664238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 1238664238080 in words is "one trillion, two hundred thirty-eight billion, six hundred sixty-four million, two hundred thirty-eight thousand, eighty".