199741534483824 has 320 divisors, whose sum is σ = 592298625283200. Its totient is φ = 64413450436608.

The previous prime is 199741534483789. The next prime is 199741534483873. The reversal of 199741534483824 is 428384435147991.

199741534483824 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 4 + 1 + 534 + 4 + 8 + 3 + 82 + 4 = 666.

It is a super-2 number, since 2×199741534483824² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 8051159932 + ... + 8051184740.

It is an arithmetic number, because the mean of its divisors is an integer number (1850933204010).

Almost surely, 2^{199741534483824} 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 199741534483824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296149312641600).

199741534483824 is an abundant number, since it is smaller than the sum of its proper divisors (392557090799376).

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

199741534483824 is a wasteful number, since it uses less digits than its factorization.

199741534483824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29769 (or 29757 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 199741534483824 in words is "one hundred ninety-nine trillion, seven hundred forty-one billion, five hundred thirty-four million, four hundred eighty-three thousand, eight hundred twenty-four".