23135400453132 has 72 divisors (see below), whose sum is σ = 67155388896960. Its totient is φ = 6641741754720.

The previous prime is 23135400453073. The next prime is 23135400453161.

23135400453132 is a `hidden beast` number, since 2 + 3 + 1 + 35 + 40 + 0 + 453 + 132 = 666.

23135400453132 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×23135400453132³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1537432698 + ... + 1537447745.

It is an arithmetic number, because the mean of its divisors is an integer number (932713734680).

Almost surely, 2^{23135400453132} is an apocalyptic number.

23135400453132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23135400453132 is an abundant number, since it is smaller than the sum of its proper divisors (44019988443828).

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

23135400453132 is a wasteful number, since it uses less digits than its factorization.

23135400453132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074880483 (or 3074880478 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 23135400 and 453132, that added together give a palindrome (23588532).

The spelling of 23135400453132 in words is "twenty-three trillion, one hundred thirty-five billion, four hundred million, four hundred fifty-three thousand, one hundred thirty-two".