1955477811456 has 729 divisors, whose sum is σ = 6416982972309. Its totient is φ = 594436257792.

The previous prime is 1955477811437. The next prime is 1955477811517. The reversal of 1955477811456 is 6541187745591.

The square root of 1955477811456 is 1398384.

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

1955477811456 is a `hidden beast` number, since 1 + 9 + 5 + 547 + 7 + 81 + 1 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 289271865600 + 1666205945856 = 537840^2 + 1290816^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a junction number, because it is equal to n+sod(n) for n = 1955477811393 and 1955477811402.

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 80 ways as a sum of consecutive naturals, for example, 23559973591 + ... + 23559973673.

Almost surely, 2^{1955477811456} is an apocalyptic number.

1955477811456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1955477811456 is the 1398384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1955477811456

1955477811456 is an abundant number, since it is smaller than the sum of its proper divisors (4461505160853).

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

1955477811456 is an frugal number, since it uses more digits than its factorization.

1955477811456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 101 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 63.

The spelling of 1955477811456 in words is "one trillion, nine hundred fifty-five billion, four hundred seventy-seven million, eight hundred eleven thousand, four hundred fifty-six".