338412799395648 has 560 divisors, whose sum is σ = 1096318070707200. Its totient is φ = 102809384939520.

The previous prime is 338412799395631. The next prime is 338412799395661. The reversal of 338412799395648 is 846593997214833.

338412799395648 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 12 + 7 + 9 + 9 + 39 + 564 + 8 = 666.

It is a super-2 number, since 2×338412799395648² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 791004513 + ... + 791432223.

Almost surely, 2^{338412799395648} is an apocalyptic number.

338412799395648 is a gapful number since it is divisible by the number (38) 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 338412799395648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548159035353600).

338412799395648 is an abundant number, since it is smaller than the sum of its proper divisors (757905271311552).

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

338412799395648 is a wasteful number, since it uses less digits than its factorization.

338412799395648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428060 (or 428041 counting only the distinct ones).

The product of its digits is 8465264640, while the sum is 81.

The spelling of 338412799395648 in words is "three hundred thirty-eight trillion, four hundred twelve billion, seven hundred ninety-nine million, three hundred ninety-five thousand, six hundred forty-eight".