198454815072 has 48 divisors (see below), whose sum is σ = 578826546480. Its totient is φ = 66151604736.

The previous prime is 198454815071. The next prime is 198454815131. The reversal of 198454815072 is 270518454891.

198454815072 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 54 + 81 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198454815071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114845673 + ... + 114847400.

It is an arithmetic number, because the mean of its divisors is an integer number (12058886385).

Almost surely, 2^198454815072 is an apocalyptic number.

198454815072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198454815072 is an abundant number, since it is smaller than the sum of its proper divisors (380371731408).

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

198454815072 is a wasteful number, since it uses less digits than its factorization.

198454815072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229693092 (or 229693078 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 198454815072 in words is "one hundred ninety-eight billion, four hundred fifty-four million, eight hundred fifteen thousand, seventy-two".