612217130024448 has 960 divisors, whose sum is σ = 2036864592322560. Its totient is φ = 181286852198400.

The previous prime is 612217130024431. The next prime is 612217130024471. The reversal of 612217130024448 is 844420031712216.

612217130024448 is a `hidden beast` number, since 6 + 1 + 2 + 2 + 171 + 30 + 0 + 2 + 4 + 448 = 666.

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, 13108709065 + ... + 13108755767.

It is an arithmetic number, because the mean of its divisors is an integer number (2121733950336).

Almost surely, 2^{612217130024448} 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 612217130024448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018432296161280).

612217130024448 is an abundant number, since it is smaller than the sum of its proper divisors (1424647462298112).

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

612217130024448 is a wasteful number, since it uses less digits than its factorization.

612217130024448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46968 (or 46933 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 612217130024448 in words is "six hundred twelve trillion, two hundred seventeen billion, one hundred thirty million, twenty-four thousand, four hundred forty-eight".