60344767881216 has 2688 divisors, whose sum is σ = 233220742250496. Its totient is φ = 15169754234880.

The previous prime is 60344767881169. The next prime is 60344767881239. The reversal of 60344767881216 is 61218876744306.

60344767881216 is a `hidden beast` number, since 6 + 0 + 3 + 4 + 476 + 78 + 81 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 475155652545 + ... + 475155652671.

It is an arithmetic number, because the mean of its divisors is an integer number (86763668992).

Almost surely, 2^{60344767881216} 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 60344767881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116610371125248).

60344767881216 is an abundant number, since it is smaller than the sum of its proper divisors (172875974369280).

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

60344767881216 is a wasteful number, since it uses less digits than its factorization.

60344767881216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 60344767881216 in words is "sixty trillion, three hundred forty-four billion, seven hundred sixty-seven million, eight hundred eighty-one thousand, two hundred sixteen".