198523876147632 has 320 divisors, whose sum is σ = 690697526814720. Its totient is φ = 53365545446400.

The previous prime is 198523876147603. The next prime is 198523876147633. The reversal of 198523876147632 is 236741678325891.

198523876147632 is a `hidden beast` number, since 1 + 9 + 8 + 52 + 3 + 8 + 76 + 1 + 476 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (198523876147633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19153419 + ... + 27638762.

It is an arithmetic number, because the mean of its divisors is an integer number (2158429771296).

Almost surely, 2^{198523876147632} is an apocalyptic number.

198523876147632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198523876147632 is an abundant number, since it is smaller than the sum of its proper divisors (492173650667088).

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

198523876147632 is a wasteful number, since it uses less digits than its factorization.

198523876147632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46792289 (or 46792277 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 198523876147632 in words is "one hundred ninety-eight trillion, five hundred twenty-three billion, eight hundred seventy-six million, one hundred forty-seven thousand, six hundred thirty-two".