198311374656 has 392 divisors, whose sum is σ = 616720615680. Its totient is φ = 63160280064.

The previous prime is 198311374633. The next prime is 198311374661. The reversal of 198311374656 is 656473113891.

198311374656 is a `hidden beast` number, since 19 + 8 + 31 + 137 + 465 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 139360761 + ... + 139362183.

Almost surely, 2^198311374656 is an apocalyptic number.

198311374656 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 198311374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308360307840).

198311374656 is an abundant number, since it is smaller than the sum of its proper divisors (418409241024).

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

198311374656 is a wasteful number, since it uses less digits than its factorization.

198311374656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1560 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 198311374656 in words is "one hundred ninety-eight billion, three hundred eleven million, three hundred seventy-four thousand, six hundred fifty-six".