199417081248 has 576 divisors, whose sum is σ = 781550985600. Its totient is φ = 48747847680.

The previous prime is 199417081243. The next prime is 199417081261. The reversal of 199417081248 is 842180714991.

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

It is a junction number, because it is equal to n+sod(n) for n = 199417081194 and 199417081203.

It is not an unprimeable number, because it can be changed into a prime (199417081243) 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, 7904238 + ... + 7929426.

It is an arithmetic number, because the mean of its divisors is an integer number (1356859350).

Almost surely, 2^199417081248 is an apocalyptic number.

199417081248 is a gapful number since it is divisible by the number (18) 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 199417081248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390775492800).

199417081248 is an abundant number, since it is smaller than the sum of its proper divisors (582133904352).

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

199417081248 is a wasteful number, since it uses less digits than its factorization.

199417081248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25250 (or 25229 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 199417081248 in words is "one hundred ninety-nine billion, four hundred seventeen million, eighty-one thousand, two hundred forty-eight".