388633128316272 has 960 divisors, whose sum is σ = 1298654320803840. Its totient is φ = 106210132125696.

The previous prime is 388633128316219. The next prime is 388633128316333. The reversal of 388633128316272 is 272613821336883.

388633128316272 is a `hidden beast` number, since 3 + 8 + 8 + 6 + 33 + 12 + 8 + 316 + 272 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173264879983 + ... + 173264882225.

It is an arithmetic number, because the mean of its divisors is an integer number (1352764917504).

Almost surely, 2^{388633128316272} 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 388633128316272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649327160401920).

388633128316272 is an abundant number, since it is smaller than the sum of its proper divisors (910021192487568).

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

388633128316272 is a wasteful number, since it uses less digits than its factorization.

388633128316272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2841 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 388633128316272 in words is "three hundred eighty-eight trillion, six hundred thirty-three billion, one hundred twenty-eight million, three hundred sixteen thousand, two hundred seventy-two".