10093057574148 has 72 divisors (see below), whose sum is σ = 25542153838656. Its totient is φ = 3360510753600.

The previous prime is 10093057574129. The next prime is 10093057574189. The reversal of 10093057574148 is 84147575039001.

10093057574148 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 3 + 0 + 57 + 574 + 14 + 8 = 666.

It is a super-2 number, since 2×10093057574148² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10093057574094 and 10093057574103.

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 23 ways as a sum of consecutive naturals, for example, 141778603 + ... + 141849773.

It is an arithmetic number, because the mean of its divisors is an integer number (354752136648).

Almost surely, 2^{10093057574148} is an apocalyptic number.

10093057574148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10093057574148 is an abundant number, since it is smaller than the sum of its proper divisors (15449096264508).

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

10093057574148 is a wasteful number, since it uses less digits than its factorization.

10093057574148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75625 (or 75620 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 10093057574148 in words is "ten trillion, ninety-three billion, fifty-seven million, five hundred seventy-four thousand, one hundred forty-eight".