1634740706456 has 128 divisors (see below), whose sum is σ = 3718310400000. Its totient is φ = 663574464000.

The previous prime is 1634740706441. The next prime is 1634740706477. The reversal of 1634740706456 is 6546070474361.

It is a junction number, because it is equal to n+sod(n) for n = 1634740706398 and 1634740706407.

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, 177279926 + ... + 177289146.

It is an arithmetic number, because the mean of its divisors is an integer number (29049300000).

Almost surely, 2^{1634740706456} 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 1634740706456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859155200000).

1634740706456 is an abundant number, since it is smaller than the sum of its proper divisors (2083569693544).

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

1634740706456 is a wasteful number, since it uses less digits than its factorization.

1634740706456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14281 (or 14277 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 53.

The spelling of 1634740706456 in words is "one trillion, six hundred thirty-four billion, seven hundred forty million, seven hundred six thousand, four hundred fifty-six".