1958546616912 has 240 divisors, whose sum is σ = 5602293216000. Its totient is φ = 638606232576.

The previous prime is 1958546616911. The next prime is 1958546616941. The reversal of 1958546616912 is 2196166458591.

1958546616912 is a `hidden beast` number, since 1 + 9 + 5 + 8 + 5 + 4 + 6 + 616 + 9 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1958546616912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1958546616911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 694765039 + ... + 694767857.

It is an arithmetic number, because the mean of its divisors is an integer number (23342888400).

Almost surely, 2^{1958546616912} is an apocalyptic number.

1958546616912 is a gapful number since it is divisible by the number (12) 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 1958546616912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801146608000).

1958546616912 is an abundant number, since it is smaller than the sum of its proper divisors (3643746599088).

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

1958546616912 is a wasteful number, since it uses less digits than its factorization.

1958546616912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3449 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The spelling of 1958546616912 in words is "one trillion, nine hundred fifty-eight billion, five hundred forty-six million, six hundred sixteen thousand, nine hundred twelve".