338098494960 has 160 divisors (see below), whose sum is σ = 1164869372160. Its totient is φ = 90135763200.

The previous prime is 338098494941. The next prime is 338098494967. The reversal of 338098494960 is 69494890833.

338098494960 is a `hidden beast` number, since 3 + 3 + 80 + 9 + 8 + 494 + 9 + 60 = 666.

It is a super-2 number, since 2×338098494960² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338098494967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9077175 + ... + 9114345.

It is an arithmetic number, because the mean of its divisors is an integer number (7280433576).

Almost surely, 2^338098494960 is an apocalyptic number.

338098494960 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 338098494960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582434686080).

338098494960 is an abundant number, since it is smaller than the sum of its proper divisors (826770877200).

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

338098494960 is a wasteful number, since it uses less digits than its factorization.

338098494960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41404 (or 41392 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 338098494960 in words is "three hundred thirty-eight billion, ninety-eight million, four hundred ninety-four thousand, nine hundred sixty".