126488936448 has 760 divisors, whose sum is σ = 462848952192. Its totient is φ = 33634123776.

The previous prime is 126488936423. The next prime is 126488936527. The reversal of 126488936448 is 844639884621.

126488936448 is a `hidden beast` number, since 1 + 2 + 6 + 488 + 93 + 64 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (63700992) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3418619886 + ... + 3418619922.

Almost surely, 2^126488936448 is an apocalyptic number.

126488936448 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 126488936448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231424476096).

126488936448 is an abundant number, since it is smaller than the sum of its proper divisors (336360015744).

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

126488936448 is an frugal number, since it uses more digits than its factorization.

126488936448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 72 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 126488936448 in words is "one hundred twenty-six billion, four hundred eighty-eight million, nine hundred thirty-six thousand, four hundred forty-eight".