10923396514128 has 600 divisors, whose sum is σ = 37998505273344. Its totient is φ = 3017514124800.

The previous prime is 10923396514117. The next prime is 10923396514169. The reversal of 10923396514128 is 82141569332901.

10923396514128 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 33 + 96 + 514 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3084832038 + ... + 3084835578.

Almost surely, 2^{10923396514128} is an apocalyptic number.

10923396514128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10923396514128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18999252636672).

10923396514128 is an abundant number, since it is smaller than the sum of its proper divisors (27075108759216).

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

10923396514128 is a wasteful number, since it uses less digits than its factorization.

10923396514128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 10923396514128 in words is "ten trillion, nine hundred twenty-three billion, three hundred ninety-six million, five hundred fourteen thousand, one hundred twenty-eight".