198506149043328 has 1536 divisors, whose sum is σ = 717054905548800. Its totient is φ = 51436560384000.

The previous prime is 198506149043327. The next prime is 198506149043333. The reversal of 198506149043328 is 823340941605891.

198506149043328 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 0 + 614 + 9 + 0 + 4 + 3 + 3 + 2 + 8 = 666.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is not an unprimeable number, because it can be changed into a prime (198506149043327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 200308928913 + ... + 200308929903.

It is an arithmetic number, because the mean of its divisors is an integer number (466832620800).

Almost surely, 2^{198506149043328} is an apocalyptic number.

198506149043328 is a gapful number since it is divisible by the number (18) 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 198506149043328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358527452774400).

198506149043328 is an abundant number, since it is smaller than the sum of its proper divisors (518548756505472).

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

198506149043328 is a wasteful number, since it uses less digits than its factorization.

198506149043328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 198506149043328 in words is "one hundred ninety-eight trillion, five hundred six billion, one hundred forty-nine million, forty-three thousand, three hundred twenty-eight".