198879580416 has 648 divisors, whose sum is σ = 641398909536. Its totient is φ = 54472704000.

The previous prime is 198879580411. The next prime is 198879580483. The reversal of 198879580416 is 614085978891.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198879580411) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1518164671 + ... + 1518164801.

It is an arithmetic number, because the mean of its divisors is an integer number (989813132).

Almost surely, 2^198879580416 is an apocalyptic number.

198879580416 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 198879580416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320699454768).

198879580416 is an abundant number, since it is smaller than the sum of its proper divisors (442519329120).

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

198879580416 is a wasteful number, since it uses less digits than its factorization.

198879580416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 66.

The spelling of 198879580416 in words is "one hundred ninety-eight billion, eight hundred seventy-nine million, five hundred eighty thousand, four hundred sixteen".