126361909139456 has 96 divisors (see below), whose sum is σ = 256712001764400. Its totient is φ = 62174965923840.

The previous prime is 126361909139441. The next prime is 126361909139467. The reversal of 126361909139456 is 654931909163621.

It is a super-5 number, since 5×126361909139456⁵ (a number of 72 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126361909139392 and 126361909139401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36816596 + ... + 40102188.

Almost surely, 2^{126361909139456} is an apocalyptic number.

126361909139456 is a gapful number since it is divisible by the number (16) 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 126361909139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128356000882200).

126361909139456 is an abundant number, since it is smaller than the sum of its proper divisors (130350092624944).

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

126361909139456 is an equidigital number, since it uses as much as digits as its factorization.

126361909139456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285915 (or 3285895 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 65.

The spelling of 126361909139456 in words is "one hundred twenty-six trillion, three hundred sixty-one billion, nine hundred nine million, one hundred thirty-nine thousand, four hundred fifty-six".