60414418944 has 672 divisors, whose sum is σ = 206095518720. Its totient is φ = 17517772800.

The previous prime is 60414418937. The next prime is 60414418963. The reversal of 60414418944 is 44981441406.

It is a happy number.

It is a super-2 number, since 2×60414418944² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 60414418944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 678813652 + ... + 678813740.

It is an arithmetic number, because the mean of its divisors is an integer number (306689760).

Almost surely, 2^60414418944 is an apocalyptic number.

60414418944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60414418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103047759360).

60414418944 is an abundant number, since it is smaller than the sum of its proper divisors (145681099776).

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

60414418944 is an equidigital number, since it uses as much as digits as its factorization.

60414418944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 60414418944 in words is "sixty billion, four hundred fourteen million, four hundred eighteen thousand, nine hundred forty-four".