198463430430720 has 6656 divisors, whose sum is σ = 963199951257600. Its totient is φ = 37609065676800.

The previous prime is 198463430430709. The next prime is 198463430430721. The reversal of 198463430430720 is 27034034364891.

It is a happy number.

198463430430720 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 6 + 3 + 4 + 304 + 307 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (6656).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (198463430430721) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2391125667799 + ... + 2391125667881.

Almost surely, 2^{198463430430720} is an apocalyptic number.

198463430430720 is a gapful number since it is divisible by the number (10) 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 198463430430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481599975628800).

198463430430720 is an abundant number, since it is smaller than the sum of its proper divisors (764736520826880).

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

198463430430720 is a wasteful number, since it uses less digits than its factorization.

198463430430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 198463430430720 in words is "one hundred ninety-eight trillion, four hundred sixty-three billion, four hundred thirty million, four hundred thirty thousand, seven hundred twenty".