199624257163968 has 672 divisors, whose sum is σ = 666563196321792. Its totient is φ = 51616149811200.

The previous prime is 199624257163967. The next prime is 199624257163973. The reversal of 199624257163968 is 869361752426991.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 199624257163893 and 199624257163902.

It is not an unprimeable number, because it can be changed into a prime (199624257163963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2469609313 + ... + 2469690143.

It is an arithmetic number, because the mean of its divisors is an integer number (991909518336).

Almost surely, 2^{199624257163968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199624257163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333281598160896).

199624257163968 is an abundant number, since it is smaller than the sum of its proper divisors (466938939157824).

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

199624257163968 is a wasteful number, since it uses less digits than its factorization.

199624257163968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81093 (or 81070 counting only the distinct ones).

The product of its digits is 2116316160, while the sum is 78.

The spelling of 199624257163968 in words is "one hundred ninety-nine trillion, six hundred twenty-four billion, two hundred fifty-seven million, one hundred sixty-three thousand, nine hundred sixty-eight".