380011113504 has 576 divisors, whose sum is σ = 1290852920448. Its totient is φ = 104733081600.

The previous prime is 380011113491. The next prime is 380011113641. The reversal of 380011113504 is 405311110083.

380011113504 is a `hidden beast` number, since 38 + 0 + 0 + 11 + 113 + 504 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249514087 + ... + 249515609.

It is an arithmetic number, because the mean of its divisors is an integer number (2241064098).

Almost surely, 2^380011113504 is an apocalyptic number.

380011113504 is a gapful number since it is divisible by the number (34) 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 380011113504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645426460224).

380011113504 is an abundant number, since it is smaller than the sum of its proper divisors (910841806944).

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

380011113504 is a wasteful number, since it uses less digits than its factorization.

380011113504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 380011113504 its reverse (405311110083), we get a palindrome (785322223587).

The spelling of 380011113504 in words is "three hundred eighty billion, eleven million, one hundred thirteen thousand, five hundred four".