10857034348623 has 96 divisors (see below), whose sum is σ = 16170955100352. Its totient is φ = 7016531558400.

The previous prime is 10857034348613. The next prime is 10857034348631. The reversal of 10857034348623 is 32684343075801.

It is a happy number.

10857034348623 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 7 + 0 + 3 + 4 + 3 + 4 + 8 + 623 = 666.

It is not a de Polignac number, because 10857034348623 - 2¹⁶ = 10857034283087 is a prime.

It is a super-2 number, since 2×10857034348623² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10857034348623.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10857034348613) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10889702961 + ... + 10889703957.

It is an arithmetic number, because the mean of its divisors is an integer number (168447448962).

Almost surely, 2^{10857034348623} is an apocalyptic number.

10857034348623 is a deficient number, since it is larger than the sum of its proper divisors (5313920751729).

10857034348623 is a wasteful number, since it uses less digits than its factorization.

10857034348623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 10857034348623 in words is "ten trillion, eight hundred fifty-seven billion, thirty-four million, three hundred forty-eight thousand, six hundred twenty-three".