10257833312146 has 96 divisors (see below), whose sum is σ = 20164439427840. Its totient is φ = 3821243188224.

The previous prime is 10257833312137. The next prime is 10257833312189. The reversal of 10257833312146 is 64121333875201.

It is a super-2 number, since 2×10257833312146² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 10257833312096 and 10257833312105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798156 + ... + 4599208.

It is an arithmetic number, because the mean of its divisors is an integer number (210046244040).

Almost surely, 2^{10257833312146} is an apocalyptic number.

10257833312146 is a deficient number, since it is larger than the sum of its proper divisors (9906606115694).

10257833312146 is a wasteful number, since it uses less digits than its factorization.

10257833312146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801148 (or 3801131 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 10257833312146 in words is "ten trillion, two hundred fifty-seven billion, eight hundred thirty-three million, three hundred twelve thousand, one hundred forty-six".