126894547503504 has 405 divisors, whose sum is σ = 397135765061217. Its totient is φ = 37795482489600.

The previous prime is 126894547503439. The next prime is 126894547503511. The reversal of 126894547503504 is 405305745498621.

It is a happy number.

The square root of 126894547503504 is 11264748.

It is a perfect power (a square), and thus also a powerful number.

126894547503504 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 9 + 4 + 54 + 75 + 0 + 3 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4126374697104 + 122768172806400 = 2031348^2 + 11080080^2 .

It is a super-2 number, since 2×126894547503504² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 90703750197 + ... + 90703751595.

It is a 1-persistent number, because it is pandigital, but 2⋅126894547503504 = 253789095007008 is not.

Almost surely, 2^{126894547503504} is an apocalyptic number.

126894547503504 is the 11264748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126894547503504

126894547503504 is an abundant number, since it is smaller than the sum of its proper divisors (270241217557713).

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

126894547503504 is an equidigital number, since it uses as much as digits as its factorization.

126894547503504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 126894547503504 in words is "one hundred twenty-six trillion, eight hundred ninety-four billion, five hundred forty-seven million, five hundred three thousand, five hundred four".