10052243146656 has 96 divisors (see below), whose sum is σ = 29319835003200. Its totient is φ = 3350657145600.

The previous prime is 10052243146651. The next prime is 10052243146657. The reversal of 10052243146656 is 65664134225001.

10052243146656 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 224 + 314 + 66 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10052243146651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36868431 + ... + 37140081.

It is an arithmetic number, because the mean of its divisors is an integer number (305414947950).

Almost surely, 2^{10052243146656} is an apocalyptic number.

10052243146656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10052243146656 is an abundant number, since it is smaller than the sum of its proper divisors (19267591856544).

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

10052243146656 is a wasteful number, since it uses less digits than its factorization.

10052243146656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314499 (or 314485 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 10052243146656 in words is "ten trillion, fifty-two billion, two hundred forty-three million, one hundred forty-six thousand, six hundred fifty-six".