198934851456 has 384 divisors, whose sum is σ = 647801388000. Its totient is φ = 58045317120.

The previous prime is 198934851259. The next prime is 198934851491. The reversal of 198934851456 is 654158439891.

198934851456 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 3 + 485 + 145 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 198934851393 and 198934851402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239969250 + ... + 239970078.

Almost surely, 2^198934851456 is an apocalyptic number.

198934851456 is a gapful number since it is divisible by the number (16) 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 198934851456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323900694000).

198934851456 is an abundant number, since it is smaller than the sum of its proper divisors (448866536544).

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

198934851456 is a wasteful number, since it uses less digits than its factorization.

198934851456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1527 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 198934851456 in words is "one hundred ninety-eight billion, nine hundred thirty-four million, eight hundred fifty-one thousand, four hundred fifty-six".