38094230313216 has 1728 divisors, whose sum is σ = 154682657095680. Its totient is φ = 9011434291200.

The previous prime is 38094230313203. The next prime is 38094230313221. The reversal of 38094230313216 is 61231303249083.

38094230313216 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 423 + 0 + 3 + 1 + 3 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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, 3085296355 + ... + 3085308701.

It is an arithmetic number, because the mean of its divisors is an integer number (89515426560).

Almost surely, 2^{38094230313216} is an apocalyptic number.

38094230313216 is a gapful number since it is divisible by the number (36) 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 38094230313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77341328547840).

38094230313216 is an abundant number, since it is smaller than the sum of its proper divisors (116588426782464).

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

38094230313216 is a wasteful number, since it uses less digits than its factorization.

38094230313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12449 (or 12418 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 38094230313216 in words is "thirty-eight trillion, ninety-four billion, two hundred thirty million, three hundred thirteen thousand, two hundred sixteen".