38281154688 has 448 divisors, whose sum is σ = 132177801600. Its totient is φ = 10812248064.

The previous prime is 38281154687. The next prime is 38281154699. The reversal of 38281154688 is 88645118283.

38281154688 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 11 + 546 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38281154687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 67277668 + ... + 67278236.

Almost surely, 2^38281154688 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 38281154688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66088900800).

38281154688 is an abundant number, since it is smaller than the sum of its proper divisors (93896646912).

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

38281154688 is an equidigital number, since it uses as much as digits as its factorization.

38281154688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 684 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 38281154688 in words is "thirty-eight billion, two hundred eighty-one million, one hundred fifty-four thousand, six hundred eighty-eight".