1126897377408 has 1024 divisors, whose sum is σ = 3997486080000. Its totient is φ = 308625408000.

The previous prime is 1126897377373. The next prime is 1126897377497. The reversal of 1126897377408 is 8047737986211.

1126897377408 is a `hidden beast` number, since 1 + 12 + 6 + 89 + 73 + 77 + 408 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1881297493 + ... + 1881298091.

It is an arithmetic number, because the mean of its divisors is an integer number (3903795000).

Almost surely, 2^{1126897377408} is an apocalyptic number.

1126897377408 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 1126897377408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998743040000).

1126897377408 is an abundant number, since it is smaller than the sum of its proper divisors (2870588702592).

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

1126897377408 is a wasteful number, since it uses less digits than its factorization.

1126897377408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 1126897377408 in words is "one trillion, one hundred twenty-six billion, eight hundred ninety-seven million, three hundred seventy-seven thousand, four hundred eight".