10473136128 has 504 divisors, whose sum is σ = 38070422208. Its totient is φ = 2749759488.

The previous prime is 10473136109. The next prime is 10473136159. The reversal of 10473136128 is 82163137401.

It is a happy number.

10473136128 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 31 + 3 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10473136092 and 10473136101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46964625 + ... + 46964847.

It is an arithmetic number, because the mean of its divisors is an integer number (75536552).

Almost surely, 2^10473136128 is an apocalyptic number.

10473136128 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 10473136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19035211104).

10473136128 is an abundant number, since it is smaller than the sum of its proper divisors (27597286080).

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

10473136128 is a wasteful number, since it uses less digits than its factorization.

10473136128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10473136128 in words is "ten billion, four hundred seventy-three million, one hundred thirty-six thousand, one hundred twenty-eight".