126919856448 has 980 divisors, whose sum is σ = 485234394528. Its totient is φ = 32646136320.

The previous prime is 126919856423. The next prime is 126919856461. The reversal of 126919856448 is 844658919621.

126919856448 is a `hidden beast` number, since 1 + 2 + 69 + 1 + 9 + 8 + 564 + 4 + 8 = 666.

It is a super-2 number, since 2×126919856448² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1232231565 + ... + 1232231667.

Almost surely, 2^126919856448 is an apocalyptic number.

126919856448 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 126919856448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242617197264).

126919856448 is an abundant number, since it is smaller than the sum of its proper divisors (358314538080).

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

126919856448 is an frugal number, since it uses more digits than its factorization.

126919856448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 126 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 126919856448 in words is "one hundred twenty-six billion, nine hundred nineteen million, eight hundred fifty-six thousand, four hundred forty-eight".