126346661603550 has 144 divisors (see below), whose sum is σ = 344169296950128. Its totient is φ = 33224344128000.

The previous prime is 126346661603543. The next prime is 126346661603579. The reversal of 126346661603550 is 55306166643621.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167190849 + ... + 167944851.

Almost surely, 2^{126346661603550} is an apocalyptic number.

126346661603550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126346661603550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172084648475064).

126346661603550 is an abundant number, since it is smaller than the sum of its proper divisors (217822635346578).

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

126346661603550 is a wasteful number, since it uses less digits than its factorization.

126346661603550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759195 (or 759187 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 126346661603550 in words is "one hundred twenty-six trillion, three hundred forty-six billion, six hundred sixty-one million, six hundred three thousand, five hundred fifty".