38101460099328 has 432 divisors, whose sum is σ = 120712191425280. Its totient is φ = 11944867627008.

The previous prime is 38101460099327. The next prime is 38101460099431. The reversal of 38101460099328 is 82399006410183.

38101460099328 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 1 + 4 + 600 + 9 + 9 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (38101460099321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1572543918 + ... + 1572568146.

It is an arithmetic number, because the mean of its divisors is an integer number (279426369040).

Almost surely, 2^{38101460099328} 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 38101460099328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60356095712640).

38101460099328 is an abundant number, since it is smaller than the sum of its proper divisors (82610731325952).

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

38101460099328 is a wasteful number, since it uses less digits than its factorization.

38101460099328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25764 (or 25738 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 38101460099328 in words is "thirty-eight trillion, one hundred one billion, four hundred sixty million, ninety-nine thousand, three hundred twenty-eight".