198257379254272 has 448 divisors, whose sum is σ = 438688403596800. Its totient is φ = 89038698577920.

The previous prime is 198257379254251. The next prime is 198257379254287. The reversal of 198257379254272 is 272452973752891.

It is a super-2 number, since 2×198257379254272² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198257379254195 and 198257379254204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309293883072 + ... + 309293883712.

It is an arithmetic number, because the mean of its divisors is an integer number (979215186600).

Almost surely, 2^{198257379254272} 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 198257379254272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219344201798400).

198257379254272 is an abundant number, since it is smaller than the sum of its proper divisors (240431024342528).

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

198257379254272 is an equidigital number, since it uses as much as digits as its factorization.

198257379254272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1211 counting only the distinct ones).

The product of its digits is 1066867200, while the sum is 73.

The spelling of 198257379254272 in words is "one hundred ninety-eight trillion, two hundred fifty-seven billion, three hundred seventy-nine million, two hundred fifty-four thousand, two hundred seventy-two".