126359912448 has 720 divisors, whose sum is σ = 471089848320. Its totient is φ = 31673548800.

The previous prime is 126359912447. The next prime is 126359912449. The reversal of 126359912448 is 844219953621.

It is a happy number.

126359912448 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 599 + 1 + 2 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (126359912447) and next prime (126359912449).

It is a junction number, because it is equal to n+sod(n) for n = 126359912394 and 126359912403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126359912447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351977293 + ... + 351977651.

It is an arithmetic number, because the mean of its divisors is an integer number (654291456).

Almost surely, 2^126359912448 is an apocalyptic number.

126359912448 is a gapful number since it is divisible by the number (18) 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 126359912448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235544924160).

126359912448 is an abundant number, since it is smaller than the sum of its proper divisors (344729935872).

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

126359912448 is a wasteful number, since it uses less digits than its factorization.

126359912448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 413 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 126359912448 in words is "one hundred twenty-six billion, three hundred fifty-nine million, nine hundred twelve thousand, four hundred forty-eight".