2165257200348 has 96 divisors (see below), whose sum is σ = 6273324771840. Its totient is φ = 640135152000.

The previous prime is 2165257200343. The next prime is 2165257200391. The reversal of 2165257200348 is 8430027525612.

2165257200348 is a `hidden beast` number, since 2 + 1 + 6 + 52 + 57 + 200 + 348 = 666.

It is a super-2 number, since 2×2165257200348² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165257200341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22178208 + ... + 22275623.

It is an arithmetic number, because the mean of its divisors is an integer number (65347133040).

Almost surely, 2^{2165257200348} is an apocalyptic number.

It is an amenable number.

2165257200348 is an abundant number, since it is smaller than the sum of its proper divisors (4108067571492).

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

2165257200348 is a wasteful number, since it uses less digits than its factorization.

2165257200348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44453896 (or 44453888 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2165257200348 in words is "two trillion, one hundred sixty-five billion, two hundred fifty-seven million, two hundred thousand, three hundred forty-eight".