60741801312192 has 4704 divisors, whose sum is σ = 264669267968000. Its totient is φ = 13688332922880.

The previous prime is 60741801312139. The next prime is 60741801312209. The reversal of 60741801312192 is 29121310814706.

60741801312192 is a `hidden beast` number, since 6 + 0 + 7 + 418 + 0 + 13 + 1 + 219 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4704).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 478281900033 + ... + 478281900159.

Almost surely, 2^{60741801312192} 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 60741801312192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132334633984000).

60741801312192 is an abundant number, since it is smaller than the sum of its proper divisors (203927466655808).

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

60741801312192 is a wasteful number, since it uses less digits than its factorization.

60741801312192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 60741801312192 in words is "sixty trillion, seven hundred forty-one billion, eight hundred one million, three hundred twelve thousand, one hundred ninety-two".