1157434706784 has 96 divisors (see below), whose sum is σ = 3054048350976. Its totient is φ = 383809144320.

The previous prime is 1157434706741. The next prime is 1157434706837. The reversal of 1157434706784 is 4876074347511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49352149 + ... + 49375595.

It is an arithmetic number, because the mean of its divisors is an integer number (31813003656).

Almost surely, 2^{1157434706784} 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 1157434706784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527024175488).

1157434706784 is an abundant number, since it is smaller than the sum of its proper divisors (1896613644192).

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

1157434706784 is a wasteful number, since it uses less digits than its factorization.

1157434706784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26108 (or 26100 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 1157434706784 in words is "one trillion, one hundred fifty-seven billion, four hundred thirty-four million, seven hundred six thousand, seven hundred eighty-four".