126463196160 has 352 divisors, whose sum is σ = 513635205120. Its totient is φ = 28905652224.

The previous prime is 126463196149. The next prime is 126463196161. The reversal of 126463196160 is 61691364621.

126463196160 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 631 + 9 + 6 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126463196161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 902337 + ... + 1033023.

Almost surely, 2^126463196160 is an apocalyptic number.

126463196160 is a gapful number since it is divisible by the number (10) 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 126463196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256817602560).

126463196160 is an abundant number, since it is smaller than the sum of its proper divisors (387172008960).

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

126463196160 is a wasteful number, since it uses less digits than its factorization.

126463196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130728 (or 130704 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 126463196160 in words is "one hundred twenty-six billion, four hundred sixty-three million, one hundred ninety-six thousand, one hundred sixty".