60047548194816 has 2016 divisors, whose sum is σ = 230333823832320. Its totient is φ = 14720534839296.

The previous prime is 60047548194811. The next prime is 60047548194863. The reversal of 60047548194816 is 61849184574006.

60047548194816 is a `hidden beast` number, since 6 + 0 + 0 + 4 + 7 + 548 + 1 + 9 + 4 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is not an unprimeable number, because it can be changed into a prime (60047548194811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74224410220 + ... + 74224411028.

Almost surely, 2^{60047548194816} 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 60047548194816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115166911916160).

60047548194816 is an abundant number, since it is smaller than the sum of its proper divisors (170286275637504).

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

60047548194816 is a wasteful number, since it uses less digits than its factorization.

60047548194816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 60047548194816 in words is "sixty trillion, forty-seven billion, five hundred forty-eight million, one hundred ninety-four thousand, eight hundred sixteen".