198472739468256 has 1920 divisors, whose sum is σ = 702490717716480. Its totient is φ = 54318781440000.

The previous prime is 198472739468249. The next prime is 198472739468357. The reversal of 198472739468256 is 652864937274891.

198472739468256 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 7 + 273 + 94 + 6 + 8 + 256 = 666.

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 319 ways as a sum of consecutive naturals, for example, 200275215921 + ... + 200275216911.

It is an arithmetic number, because the mean of its divisors is an integer number (365880582144).

Almost surely, 2^{198472739468256} is an apocalyptic number.

198472739468256 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 198472739468256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351245358858240).

198472739468256 is an abundant number, since it is smaller than the sum of its proper divisors (504017978248224).

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

198472739468256 is a wasteful number, since it uses less digits than its factorization.

198472739468256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1265 counting only the distinct ones).

The product of its digits is 8778792960, while the sum is 81.

The spelling of 198472739468256 in words is "one hundred ninety-eight trillion, four hundred seventy-two billion, seven hundred thirty-nine million, four hundred sixty-eight thousand, two hundred fifty-six".