338014107648 has 1152 divisors, whose sum is σ = 1258141248000. Its totient is φ = 87748116480.

The previous prime is 338014107647. The next prime is 338014107653. The reversal of 338014107648 is 846701410833.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×338014107648² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338014107647) 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, 5729052643 + ... + 5729052701.

It is an arithmetic number, because the mean of its divisors is an integer number (1092136500).

Almost surely, 2^338014107648 is an apocalyptic number.

338014107648 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 338014107648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629070624000).

338014107648 is an abundant number, since it is smaller than the sum of its proper divisors (920127140352).

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

338014107648 is a wasteful number, since it uses less digits than its factorization.

338014107648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 338014107648 in words is "three hundred thirty-eight billion, fourteen million, one hundred seven thousand, six hundred forty-eight".