198812952576 has 480 divisors, whose sum is σ = 682086525120. Its totient is φ = 56518705152.

The previous prime is 198812952551. The next prime is 198812952589. The reversal of 198812952576 is 675259218891.

198812952576 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 1 + 2 + 9 + 52 + 576 = 666.

It is a super-2 number, since 2×198812952576² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 363460335 + ... + 363460881.

It is an arithmetic number, because the mean of its divisors is an integer number (1421013594).

Almost surely, 2^198812952576 is an apocalyptic number.

198812952576 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 198812952576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341043262560).

198812952576 is an abundant number, since it is smaller than the sum of its proper divisors (483273572544).

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

198812952576 is an equidigital number, since it uses as much as digits as its factorization.

198812952576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 872 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 63.

The spelling of 198812952576 in words is "one hundred ninety-eight billion, eight hundred twelve million, nine hundred fifty-two thousand, five hundred seventy-six".