60031946016 has 480 divisors, whose sum is σ = 209999623680. Its totient is φ = 16460236800.

The previous prime is 60031946011. The next prime is 60031946047. The reversal of 60031946016 is 61064913006.

60031946016 is a `hidden beast` number, since 600 + 3 + 1 + 9 + 46 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (60031946011) 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 79 ways as a sum of consecutive naturals, for example, 142593486 + ... + 142593906.

It is an arithmetic number, because the mean of its divisors is an integer number (437499216).

Almost surely, 2^60031946016 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 60031946016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104999811840).

60031946016 is an abundant number, since it is smaller than the sum of its proper divisors (149967677664).

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

60031946016 is a wasteful number, since it uses less digits than its factorization.

60031946016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 60031946016 in words is "sixty billion, thirty-one million, nine hundred forty-six thousand, sixteen".