246145144601020 has 864 divisors, whose sum is σ = 691202090710656. Its totient is φ = 73196553830400.

The previous prime is 246145144600961. The next prime is 246145144601117. The reversal of 246145144601020 is 20106441541642.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17681563660 + ... + 17681577580.

It is an arithmetic number, because the mean of its divisors is an integer number (800002419804).

Almost surely, 2^{246145144601020} is an apocalyptic number.

246145144601020 is a gapful number since it is divisible by the number (20) 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 246145144601020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345601045355328).

246145144601020 is an abundant number, since it is smaller than the sum of its proper divisors (445056946109636).

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

246145144601020 is a wasteful number, since it uses less digits than its factorization.

246145144601020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14099 (or 14071 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 246145144601020 in words is "two hundred forty-six trillion, one hundred forty-five billion, one hundred forty-four million, six hundred one thousand, twenty".