199032546816 has 800 divisors, whose sum is σ = 657091657728. Its totient is φ = 59779399680.

The previous prime is 199032546799. The next prime is 199032546821. The reversal of 199032546816 is 618645230991.

199032546816 is a `hidden beast` number, since 1 + 9 + 90 + 3 + 2 + 546 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×199032546816² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1567185345 + ... + 1567185471.

Almost surely, 2^199032546816 is an apocalyptic number.

199032546816 is a gapful number since it is divisible by the number (16) 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 199032546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328545828864).

199032546816 is an abundant number, since it is smaller than the sum of its proper divisors (458059110912).

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

199032546816 is a wasteful number, since it uses less digits than its factorization.

199032546816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 199032546816 in words is "one hundred ninety-nine billion, thirty-two million, five hundred forty-six thousand, eight hundred sixteen".