338477377104 has 160 divisors (see below), whose sum is σ = 985134864000. Its totient is φ = 111254031360.

The previous prime is 338477377037. The next prime is 338477377141. The reversal of 338477377104 is 401773774833.

It is a happy number.

338477377104 is a `hidden beast` number, since 3 + 38 + 477 + 37 + 7 + 104 = 666.

338477377104 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338477377104² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19389372 + ... + 19406820.

It is an arithmetic number, because the mean of its divisors is an integer number (6157092900).

Almost surely, 2^338477377104 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 338477377104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492567432000).

338477377104 is an abundant number, since it is smaller than the sum of its proper divisors (646657486896).

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

338477377104 is a wasteful number, since it uses less digits than its factorization.

338477377104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18090 (or 18078 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 338477377104 in words is "three hundred thirty-eight billion, four hundred seventy-seven million, three hundred seventy-seven thousand, one hundred four".