60152418144 has 576 divisors, whose sum is σ = 222859413504. Its totient is φ = 14955798528.

The previous prime is 60152418103. The next prime is 60152418181. The reversal of 60152418144 is 44181425106.

60152418144 is a `hidden beast` number, since 601 + 5 + 2 + 4 + 1 + 8 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 60152418099 and 60152418108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44002549 + ... + 44003915.

It is an arithmetic number, because the mean of its divisors is an integer number (386908704).

Almost surely, 2^60152418144 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 60152418144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111429706752).

60152418144 is an abundant number, since it is smaller than the sum of its proper divisors (162706995360).

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

60152418144 is a wasteful number, since it uses less digits than its factorization.

60152418144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 60152418144 in words is "sixty billion, one hundred fifty-two million, four hundred eighteen thousand, one hundred forty-four".