199945525248 has 768 divisors, whose sum is σ = 711956044800. Its totient is φ = 54252011520.

The previous prime is 199945525237. The next prime is 199945525259. The reversal of 199945525248 is 842525549991.

199945525248 is a `hidden beast` number, since 1 + 9 + 99 + 455 + 2 + 52 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (199945525237) and next prime (199945525259).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 682407790 + ... + 682408082.

It is an arithmetic number, because the mean of its divisors is an integer number (927026100).

Almost surely, 2^199945525248 is an apocalyptic number.

199945525248 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 199945525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355978022400).

199945525248 is an abundant number, since it is smaller than the sum of its proper divisors (512010519552).

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

199945525248 is a wasteful number, since it uses less digits than its factorization.

199945525248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 389 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 63.

The spelling of 199945525248 in words is "one hundred ninety-nine billion, nine hundred forty-five million, five hundred twenty-five thousand, two hundred forty-eight".