2301400166016 has 64 divisors (see below), whose sum is σ = 6986393369280. Its totient is φ = 657542903808.

The previous prime is 2301400165997. The next prime is 2301400166027. The reversal of 2301400166016 is 6106610041032.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2301400166016² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428085141 + ... + 428090516.

It is an arithmetic number, because the mean of its divisors is an integer number (109162396395).

Almost surely, 2^{2301400166016} is an apocalyptic number.

It is an amenable number.

2301400166016 is an abundant number, since it is smaller than the sum of its proper divisors (4684993203264).

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

2301400166016 is an equidigital number, since it uses as much as digits as its factorization.

2301400166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856175681 (or 856175669 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 2301400166016 in words is "two trillion, three hundred one billion, four hundred million, one hundred sixty-six thousand, sixteen".