198513747432 has 768 divisors, whose sum is σ = 778092134400. Its totient is φ = 46049472000.

The previous prime is 198513747427. The next prime is 198513747491. The reversal of 198513747432 is 234747315891.

198513747432 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 137 + 474 + 32 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46916757 + ... + 46920987.

It is an arithmetic number, because the mean of its divisors is an integer number (1013140800).

Almost surely, 2^198513747432 is an apocalyptic number.

198513747432 is a gapful number since it is divisible by the number (12) 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 198513747432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389046067200).

198513747432 is an abundant number, since it is smaller than the sum of its proper divisors (579578386968).

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

198513747432 is a wasteful number, since it uses less digits than its factorization.

198513747432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4298 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 198513747432 in words is "one hundred ninety-eight billion, five hundred thirteen million, seven hundred forty-seven thousand, four hundred thirty-two".