60984145152 has 432 divisors, whose sum is σ = 213717958272. Its totient is φ = 16326328320.

The previous prime is 60984145147. The next prime is 60984145231. The reversal of 60984145152 is 25154148906.

60984145152 is a `hidden beast` number, since 6 + 0 + 98 + 41 + 4 + 515 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 60984145098 and 60984145107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95138752 + ... + 95139392.

It is an arithmetic number, because the mean of its divisors is an integer number (494717496).

Almost surely, 2^60984145152 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 60984145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106858979136).

60984145152 is an abundant number, since it is smaller than the sum of its proper divisors (152733813120).

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

60984145152 is a wasteful number, since it uses less digits than its factorization.

60984145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 60984145152 in words is "sixty billion, nine hundred eighty-four million, one hundred forty-five thousand, one hundred fifty-two".