60114480384 has 288 divisors, whose sum is σ = 186255820800. Its totient is φ = 16858423296.

The previous prime is 60114480383. The next prime is 60114480407. The reversal of 60114480384 is 48308441106.

60114480384 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 2×60114480384² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60114480383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88795054 + ... + 88795730.

It is an arithmetic number, because the mean of its divisors is an integer number (646721600).

Almost surely, 2^60114480384 is an apocalyptic number.

60114480384 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 60114480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93127910400).

60114480384 is an abundant number, since it is smaller than the sum of its proper divisors (126141340416).

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

60114480384 is a wasteful number, since it uses less digits than its factorization.

60114480384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

It can be divided in two parts, 601144 and 80384, that added together give a triangular number (681528 = T₁₁₆₇).

The spelling of 60114480384 in words is "sixty billion, one hundred fourteen million, four hundred eighty thousand, three hundred eighty-four".