338844966977088 has 672 divisors, whose sum is σ = 1183490042821632. Its totient is φ = 94766211532800.

The previous prime is 338844966977059. The next prime is 338844966977089. The reversal of 338844966977088 is 880779669448833.

It is a happy number.

338844966977088 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 449 + 6 + 6 + 97 + 70 + 8 + 8 = 666.

It is a super-2 number, since 2×338844966977088² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338844966976989 and 338844966977007.

It is not an unprimeable number, because it can be changed into a prime (338844966977089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23002162683 + ... + 23002177413.

It is an arithmetic number, because the mean of its divisors is an integer number (1761145897056).

Almost surely, 2^{338844966977088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338844966977088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591745021410816).

338844966977088 is an abundant number, since it is smaller than the sum of its proper divisors (844645075844544).

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

338844966977088 is a wasteful number, since it uses less digits than its factorization.

338844966977088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25125 (or 25103 counting only the distinct ones).

The product of its (nonzero) digits is 84276412416, while the sum is 90.

The spelling of 338844966977088 in words is "three hundred thirty-eight trillion, eight hundred forty-four billion, nine hundred sixty-six million, nine hundred seventy-seven thousand, eighty-eight".