131553336400448 has 56 divisors (see below), whose sum is σ = 262644908515584. Its totient is φ = 65375183462400.

The previous prime is 131553336400433. The next prime is 131553336400517. The reversal of 131553336400448 is 844004633355131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131553336400396 and 131553336400405.

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 7 ways as a sum of consecutive naturals, for example, 91642793 + ... + 93067223.

It is an arithmetic number, because the mean of its divisors is an integer number (4690087652064).

Almost surely, 2^{131553336400448} is an apocalyptic number.

It is an amenable number.

131553336400448 is a deficient number, since it is larger than the sum of its proper divisors (131091572115136).

131553336400448 is a wasteful number, since it uses less digits than its factorization.

131553336400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433251 (or 1433241 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 50.

Adding to 131553336400448 its reverse (844004633355131), we get a palindrome (975557969755579).

The spelling of 131553336400448 in words is "one hundred thirty-one trillion, five hundred fifty-three billion, three hundred thirty-six million, four hundred thousand, four hundred forty-eight".