126898688448 has 672 divisors, whose sum is σ = 448099891200. Its totient is φ = 35097753600.

The previous prime is 126898688363. The next prime is 126898688467. The reversal of 126898688448 is 844886898621.

126898688448 is a `hidden beast` number, since 1 + 26 + 8 + 9 + 86 + 88 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×126898688448² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408034213 + ... + 408034523.

Almost surely, 2^126898688448 is an apocalyptic number.

126898688448 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 126898688448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224049945600).

126898688448 is an abundant number, since it is smaller than the sum of its proper divisors (321201202752).

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

126898688448 is a wasteful number, since it uses less digits than its factorization.

126898688448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 463 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 72.

The spelling of 126898688448 in words is "one hundred twenty-six billion, eight hundred ninety-eight million, six hundred eighty-eight thousand, four hundred forty-eight".