338841152160 has 384 divisors, whose sum is σ = 1307162271744. Its totient is φ = 72014315520.

The previous prime is 338841152147. The next prime is 338841152183. The reversal of 338841152160 is 61251148833.

It is a happy number.

It is a super-2 number, since 2×338841152160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4705225 + ... + 4776695.

It is an arithmetic number, because the mean of its divisors is an integer number (3404068416).

Almost surely, 2^338841152160 is an apocalyptic number.

338841152160 is a gapful number since it is divisible by the number (30) 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 338841152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653581135872).

338841152160 is an abundant number, since it is smaller than the sum of its proper divisors (968321119584).

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

338841152160 is a wasteful number, since it uses less digits than its factorization.

338841152160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71596 (or 71588 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 338841152160 in words is "three hundred thirty-eight billion, eight hundred forty-one million, one hundred fifty-two thousand, one hundred sixty".