60024938384466 has 288 divisors, whose sum is σ = 156651486277104. Its totient is φ = 16529640652800.

The previous prime is 60024938384443. The next prime is 60024938384557. The reversal of 60024938384466 is 66448383942006.

60024938384466 is a `hidden beast` number, since 6 + 0 + 0 + 2 + 4 + 93 + 8 + 3 + 84 + 466 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10541521926441 + 49483416458025 = 3246771^2 + 7034445^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 147048586 + ... + 147456218.

Almost surely, 2^{60024938384466} is an apocalyptic number.

60024938384466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 60024938384466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78325743138552).

60024938384466 is an abundant number, since it is smaller than the sum of its proper divisors (96626547892638).

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

60024938384466 is a wasteful number, since it uses less digits than its factorization.

60024938384466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407818 (or 407804 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 60024938384466 in words is "sixty trillion, twenty-four billion, nine hundred thirty-eight million, three hundred eighty-four thousand, four hundred sixty-six".