60199146946512 has 640 divisors, whose sum is σ = 205126794854400. Its totient is φ = 16538660683776.

The previous prime is 60199146946511. The next prime is 60199146946531. The reversal of 60199146946512 is 21564964199106.

60199146946512 is a `hidden beast` number, since 6 + 0 + 1 + 9 + 9 + 14 + 69 + 46 + 512 = 666.

60199146946512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×60199146946512² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 60199146946512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60199146946511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27325984803 + ... + 27325987005.

It is an arithmetic number, because the mean of its divisors is an integer number (320510616960).

Almost surely, 2^{60199146946512} 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 60199146946512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102563397427200).

60199146946512 is an abundant number, since it is smaller than the sum of its proper divisors (144927647907888).

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

60199146946512 is a wasteful number, since it uses less digits than its factorization.

60199146946512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 60199146946512 in words is "sixty trillion, one hundred ninety-nine billion, one hundred forty-six million, nine hundred forty-six thousand, five hundred twelve".