6301145324016 has 30 divisors (see below), whose sum is σ = 17634455316920. Its totient is φ = 2100381774624.

The previous prime is 6301145323937. The next prime is 6301145324021. The reversal of 6301145324016 is 6104235411036.

6301145324016 is a `hidden beast` number, since 6 + 3 + 0 + 114 + 532 + 4 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 21878976676 + ... + 21878976963.

Almost surely, 2^{6301145324016} is an apocalyptic number.

It is an amenable number.

6301145324016 is an abundant number, since it is smaller than the sum of its proper divisors (11333309992904).

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

6301145324016 is a wasteful number, since it uses less digits than its factorization.

6301145324016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43757953653 (or 43757953644 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 6301145324016 in words is "six trillion, three hundred one billion, one hundred forty-five million, three hundred twenty-four thousand, sixteen".