338193954000 has 1600 divisors, whose sum is σ = 1510657454592. Its totient is φ = 71165952000.

The previous prime is 338193953893. The next prime is 338193954023. The reversal of 338193954000 is 459391833.

338193954000 is a `hidden beast` number, since 338 + 193 + 95 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×338193954000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1021733835 + ... + 1021734165.

Almost surely, 2^338193954000 is an apocalyptic number.

338193954000 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 338193954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755328727296).

338193954000 is an abundant number, since it is smaller than the sum of its proper divisors (1172463500592).

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

338193954000 is a wasteful number, since it uses less digits than its factorization.

338193954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 338193954000 in words is "three hundred thirty-eight billion, one hundred ninety-three million, nine hundred fifty-four thousand".