338098455552 has 1056 divisors, whose sum is σ = 1149430653952. Its totient is φ = 87588864000.

The previous prime is 338098455551. The next prime is 338098455581. The reversal of 338098455552 is 255554890833.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×338098455552² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338098455492 and 338098455501.

It is not an unprimeable number, because it can be changed into a prime (338098455551) 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, 5542597602 + ... + 5542597662.

Almost surely, 2^338098455552 is an apocalyptic number.

338098455552 is a gapful number since it is divisible by the number (32) 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 338098455552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574715326976).

338098455552 is an abundant number, since it is smaller than the sum of its proper divisors (811332198400).

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

338098455552 is a wasteful number, since it uses less digits than its factorization.

338098455552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 57.

The spelling of 338098455552 in words is "three hundred thirty-eight billion, ninety-eight million, four hundred fifty-five thousand, five hundred fifty-two".