60974240431104 has 1848 divisors, whose sum is σ = 249773404225968. Its totient is φ = 14617944391680.

The previous prime is 60974240431087. The next prime is 60974240431151. The reversal of 60974240431104 is 40113404247906.

60974240431104 is a `hidden beast` number, since 6 + 0 + 9 + 74 + 2 + 40 + 431 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (1848).

It is a self number, because there is not a number n which added to its sum of digits gives 60974240431104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5230691644 + ... + 5230703300.

Almost surely, 2^{60974240431104} is an apocalyptic number.

60974240431104 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 60974240431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124886702112984).

60974240431104 is an abundant number, since it is smaller than the sum of its proper divisors (188799163794864).

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

60974240431104 is a wasteful number, since it uses less digits than its factorization.

60974240431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11733 (or 11693 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 60974240431104 in words is "sixty trillion, nine hundred seventy-four billion, two hundred forty million, four hundred thirty-one thousand, one hundred four".