231533533134400 has 252 divisors, whose sum is σ = 664509099026388. Its totient is φ = 79170092789760.

The previous prime is 231533533134353. The next prime is 231533533134439. The reversal of 231533533134400 is 4431335335132.

It can be written as a sum of positive squares in 6 ways, for example, as 16771776952896 + 214761756181504 = 4095336^2 + 14654752^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 25284442 + ... + 33201958.

Almost surely, 2^{231533533134400} is an apocalyptic number.

231533533134400 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 231533533134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332254549513194).

231533533134400 is an abundant number, since it is smaller than the sum of its proper divisors (432975565891988).

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

231533533134400 is a wasteful number, since it uses less digits than its factorization.

231533533134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917926 (or 7917904 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 40.

Adding to 231533533134400 its reverse (4431335335132), we get a palindrome (235964868469532).

The spelling of 231533533134400 in words is "two hundred thirty-one trillion, five hundred thirty-three billion, five hundred thirty-three million, one hundred thirty-four thousand, four hundred".