338077522968000 has 448 divisors, whose sum is σ = 1144324096261632. Its totient is φ = 87900842803200.

The previous prime is 338077522967983. The next prime is 338077522968001. The reversal of 338077522968000 is 869225770833.

It is a super-2 number, since 2×338077522968000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338077522968001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 580725064 + ... + 581306936.

Almost surely, 2^{338077522968000} is an apocalyptic number.

338077522968000 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 338077522968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572162048130816).

338077522968000 is an abundant number, since it is smaller than the sum of its proper divisors (806246573293632).

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

338077522968000 is a wasteful number, since it uses less digits than its factorization.

338077522968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582509 (or 582489 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 338077522968000 in words is "three hundred thirty-eight trillion, seventy-seven billion, five hundred twenty-two million, nine hundred sixty-eight thousand".