199153696248 has 320 divisors, whose sum is σ = 607107916800. Its totient is φ = 60881880960.

The previous prime is 199153696241. The next prime is 199153696277. The reversal of 199153696248 is 842696351991.

199153696248 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 536 + 96 + 2 + 4 + 8 = 666.

Its product of digits (25194240) is a multiple of the sum of its prime divisors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199153696241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 554745493 + ... + 554745851.

It is an arithmetic number, because the mean of its divisors is an integer number (1897212240).

Almost surely, 2^199153696248 is an apocalyptic number.

199153696248 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 199153696248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303553958400).

199153696248 is an abundant number, since it is smaller than the sum of its proper divisors (407954220552).

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

199153696248 is an equidigital number, since it uses as much as digits as its factorization.

199153696248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 648 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 199153696248 in words is "one hundred ninety-nine billion, one hundred fifty-three million, six hundred ninety-six thousand, two hundred forty-eight".