365238113058 has 576 divisors, whose sum is σ = 1079719280640. Its totient is φ = 88144568064.

The previous prime is 365238113021. The next prime is 365238113081. The reversal of 365238113058 is 850311832563.

365238113058 is a `hidden beast` number, since 3 + 6 + 523 + 8 + 113 + 0 + 5 + 8 = 666.

It is a super-3 number, since 3×365238113058³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1189700541 + ... + 1189700847.

It is an arithmetic number, because the mean of its divisors is an integer number (1874512640).

Almost surely, 2^365238113058 is an apocalyptic number.

365238113058 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 365238113058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539859640320).

365238113058 is an abundant number, since it is smaller than the sum of its proper divisors (714481167582).

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

365238113058 is a wasteful number, since it uses less digits than its factorization.

365238113058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 365238113058 in words is "three hundred sixty-five billion, two hundred thirty-eight million, one hundred thirteen thousand, fifty-eight".