193049019072 has 1344 divisors, whose sum is σ = 764500172800. Its totient is φ = 45416816640.

The previous prime is 193049019047. The next prime is 193049019089. The reversal of 193049019072 is 270910940391.

193049019072 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 490 + 1 + 90 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×193049019072² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5217541038 + ... + 5217541074.

Almost surely, 2^193049019072 is an apocalyptic number.

193049019072 is a gapful number since it is divisible by the number (12) 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 193049019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382250086400).

193049019072 is an abundant number, since it is smaller than the sum of its proper divisors (571451153728).

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

193049019072 is a wasteful number, since it uses less digits than its factorization.

193049019072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 193049019072 in words is "one hundred ninety-three billion, forty-nine million, nineteen thousand, seventy-two".