198311522415552 has 2352 divisors, whose sum is σ = 792224831022912. Its totient is φ = 48669628170240.

The previous prime is 198311522415541. The next prime is 198311522415557. The reversal of 198311522415552 is 255514225113891.

198311522415552 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 1 + 1 + 52 + 24 + 15 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

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 (198311522415557) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 25291607152 + ... + 25291614992.

Almost surely, 2^{198311522415552} is an apocalyptic number.

198311522415552 is a gapful number since it is divisible by the number (12) 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 198311522415552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396112415511456).

198311522415552 is an abundant number, since it is smaller than the sum of its proper divisors (593913308607360).

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

198311522415552 is a wasteful number, since it uses less digits than its factorization.

198311522415552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 7926 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 54.

The spelling of 198311522415552 in words is "one hundred ninety-eight trillion, three hundred eleven billion, five hundred twenty-two million, four hundred fifteen thousand, five hundred fifty-two".