336145202520512 has 168 divisors, whose sum is σ = 846502482849408. Its totient is φ = 130962576729600.

The previous prime is 336145202520461. The next prime is 336145202520563. The reversal of 336145202520512 is 215025202541633.

It is an interprime number because it is at equal distance from previous prime (336145202520461) and next prime (336145202520563).

It is a super-2 number, since 2×336145202520512² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 336145202520512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1937450087 + ... + 1937623577.

It is an arithmetic number, because the mean of its divisors is an integer number (5038705255056).

Almost surely, 2^{336145202520512} is an apocalyptic number.

336145202520512 is a gapful number since it is divisible by the number (32) 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 336145202520512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423251241424704).

336145202520512 is an abundant number, since it is smaller than the sum of its proper divisors (510357280328896).

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

336145202520512 is a wasteful number, since it uses less digits than its factorization.

336145202520512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229695 (or 229678 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 336145202520512 in words is "three hundred thirty-six trillion, one hundred forty-five billion, two hundred two million, five hundred twenty thousand, five hundred twelve".