23035813208460 has 1152 divisors, whose sum is σ = 84413946839040. Its totient is φ = 5226591744000.

The previous prime is 23035813208453. The next prime is 23035813208501. The reversal of 23035813208460 is 6480231853032.

23035813208460 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 58 + 132 + 0 + 8 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12117733510 + ... + 12117735410.

It is an arithmetic number, because the mean of its divisors is an integer number (73275995520).

Almost surely, 2^{23035813208460} is an apocalyptic number.

23035813208460 is a gapful number since it is divisible by the number (20) 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 23035813208460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42206973419520).

23035813208460 is an abundant number, since it is smaller than the sum of its proper divisors (61378133630580).

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

23035813208460 is a wasteful number, since it uses less digits than its factorization.

23035813208460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 23035813208460 in words is "twenty-three trillion, thirty-five billion, eight hundred thirteen million, two hundred eight thousand, four hundred sixty".