338741551296 has 336 divisors, whose sum is σ = 1030504220928. Its totient is φ = 106212556800.

The previous prime is 338741551273. The next prime is 338741551307. The reversal of 338741551296 is 692155147833.

It is a happy number.

338741551296 is a `hidden beast` number, since 3 + 3 + 87 + 4 + 1 + 551 + 2 + 9 + 6 = 666.

It is a super-2 number, since 2×338741551296² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (5443200) is a multiple of the sum of its prime factors (1800).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246715666 + ... + 246717038.

It is an arithmetic number, because the mean of its divisors is an integer number (3066976848).

Almost surely, 2^338741551296 is an apocalyptic number.

338741551296 is a gapful number since it is divisible by the number (36) 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 338741551296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515252110464).

338741551296 is an abundant number, since it is smaller than the sum of its proper divisors (691762669632).

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

338741551296 is a wasteful number, since it uses less digits than its factorization.

338741551296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1787 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 338741551296 in words is "three hundred thirty-eight billion, seven hundred forty-one million, five hundred fifty-one thousand, two hundred ninety-six".