387253188016128 has 1536 divisors, whose sum is σ = 1382398617600000. Its totient is φ = 104726423273472.

The previous prime is 387253188016127. The next prime is 387253188016147. The reversal of 387253188016128 is 821610881352783.

387253188016128 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 5 + 3 + 1 + 8 + 8 + 0 + 1 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×387253188016128² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387253188016127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 587637614263 + ... + 587637614921.

It is an arithmetic number, because the mean of its divisors is an integer number (899999100000).

Almost surely, 2^{387253188016128} 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 387253188016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691199308800000).

387253188016128 is an abundant number, since it is smaller than the sum of its proper divisors (995145429583872).

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

387253188016128 is a wasteful number, since it uses less digits than its factorization.

387253188016128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 387253188016128 in words is "three hundred eighty-seven trillion, two hundred fifty-three billion, one hundred eighty-eight million, sixteen thousand, one hundred twenty-eight".