1955511372816 has 45 divisors (see below), whose sum is σ = 5472762819069. Its totient is φ = 651831530688.

The previous prime is 1955511372811. The next prime is 1955511372907. The reversal of 1955511372816 is 6182731155591.

The square root of 1955511372816 is 1398396.

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

1955511372816 is a `hidden beast` number, since 1 + 9 + 5 + 551 + 1 + 3 + 7 + 2 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1363990410000 + 591520962816 = 1167900^2 + 769104^2 .

It is not an unprimeable number, because it can be changed into a prime (1955511372811) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 16722486 + ... + 16839018.

Almost surely, 2^{1955511372816} is an apocalyptic number.

1955511372816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1955511372816 is the 1398396-th square number.

It is an amenable number.

1955511372816 is an abundant number, since it is smaller than the sum of its proper divisors (3517251446253).

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

1955511372816 is an frugal number, since it uses more digits than its factorization.

1955511372816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233080 (or 116538 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 54.

The spelling of 1955511372816 in words is "one trillion, nine hundred fifty-five billion, five hundred eleven million, three hundred seventy-two thousand, eight hundred sixteen".