126978411456 has 224 divisors, whose sum is σ = 407102259200. Its totient is φ = 38575180800.

The previous prime is 126978411449. The next prime is 126978411493. The reversal of 126978411456 is 654114879621.

126978411456 is a `hidden beast` number, since 1 + 26 + 97 + 84 + 1 + 1 + 456 = 666.

It is a super-2 number, since 2×126978411456² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1738881 + ... + 1810431.

It is an arithmetic number, because the mean of its divisors is an integer number (1817420800).

Almost surely, 2^126978411456 is an apocalyptic number.

126978411456 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 126978411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203551129600).

126978411456 is an abundant number, since it is smaller than the sum of its proper divisors (280123847744).

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

126978411456 is a wasteful number, since it uses less digits than its factorization.

126978411456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71664 (or 71648 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 126978411456 in words is "one hundred twenty-six billion, nine hundred seventy-eight million, four hundred eleven thousand, four hundred fifty-six".