1126399832064 has 312 divisors, whose sum is σ = 3556326048912. Its totient is φ = 341401927680.

The previous prime is 1126399832023. The next prime is 1126399832071. The reversal of 1126399832064 is 4602389936211.

1126399832064 is a `hidden beast` number, since 11 + 263 + 99 + 83 + 206 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a self number, because there is not a number n which added to its sum of digits gives 1126399832064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32091004 + ... + 32126084.

It is an arithmetic number, because the mean of its divisors is an integer number (11398480926).

Almost surely, 2^{1126399832064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126399832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778163024456).

1126399832064 is an abundant number, since it is smaller than the sum of its proper divisors (2429926216848).

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

1126399832064 is a wasteful number, since it uses less digits than its factorization.

1126399832064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35191 (or 35166 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1126399832064 in words is "one trillion, one hundred twenty-six billion, three hundred ninety-nine million, eight hundred thirty-two thousand, sixty-four".