1956126715456 has 63 divisors (see below), whose sum is σ = 3933223546161. Its totient is φ = 965246440704.

The previous prime is 1956126715423. The next prime is 1956126715471. The reversal of 1956126715456 is 6545176216591.

The square root of 1956126715456 is 1398616.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1942009473600 + 14117241856 = 1393560^2 + 118816^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1956126715456.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 883924206 + ... + 883926418.

Almost surely, 2^{1956126715456} is an apocalyptic number.

1956126715456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1956126715456 is the 1398616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1956126715456

1956126715456 is an abundant number, since it is smaller than the sum of its proper divisors (1977096830705).

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

1956126715456 is an frugal number, since it uses more digits than its factorization.

1956126715456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596 (or 2294 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 58.

The spelling of 1956126715456 in words is "one trillion, nine hundred fifty-six billion, one hundred twenty-six million, seven hundred fifteen thousand, four hundred fifty-six".