198357223680 has 1152 divisors, whose sum is σ = 885833625600. Its totient is φ = 40830566400.

The previous prime is 198357223679. The next prime is 198357223723. The reversal of 198357223680 is 86322753891.

198357223680 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 572 + 2 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 348606436 + ... + 348607004.

It is an arithmetic number, because the mean of its divisors is an integer number (768952800).

Almost surely, 2^198357223680 is an apocalyptic number.

198357223680 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 198357223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442916812800).

198357223680 is an abundant number, since it is smaller than the sum of its proper divisors (687476401920).

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

198357223680 is a wasteful number, since it uses less digits than its factorization.

198357223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 198357223680 in words is "one hundred ninety-eight billion, three hundred fifty-seven million, two hundred twenty-three thousand, six hundred eighty".