38358550391184 has 135 divisors (see below), whose sum is σ = 110931960247329. Its totient is φ = 12372982721280.

The previous prime is 38358550391177. The next prime is 38358550391257. The reversal of 38358550391184 is 48119305585383.

The square root of 38358550391184 is 6193428.

It is a perfect power (a square), and thus also a powerful number.

38358550391184 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 8 + 5 + 503 + 9 + 118 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29501974391184 + 8856576000000 = 5431572^2 + 2976000^2 .

It is a super-2 number, since 2×38358550391184² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2303946892 + ... + 2303963540.

Almost surely, 2^{38358550391184} is an apocalyptic number.

38358550391184 is the 6193428-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38358550391184

38358550391184 is an abundant number, since it is smaller than the sum of its proper divisors (72573409856145).

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

38358550391184 is an frugal number, since it uses more digits than its factorization.

38358550391184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33374 (or 16685 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 38358550391184 in words is "thirty-eight trillion, three hundred fifty-eight billion, five hundred fifty million, three hundred ninety-one thousand, one hundred eighty-four".