1481751121984 has 63 divisors (see below), whose sum is σ = 3420564367773. Its totient is φ = 635006980608.

The previous prime is 1481751121891. The next prime is 1481751122039. The reversal of 1481751121984 is 4891211571841.

The square root of 1481751121984 is 1217272.

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., 83984040000 + 1397767081984 = 289800^2 + 1182272^2 .

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, 68156364 + ... + 68178100.

Almost surely, 2^{1481751121984} is an apocalyptic number.

1481751121984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1481751121984 is the 1217272-nd square number.

It is an amenable number.

1481751121984 is an abundant number, since it is smaller than the sum of its proper divisors (1938813245789).

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

1481751121984 is an frugal number, since it uses more digits than its factorization.

1481751121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43500 (or 21746 counting only the distinct ones).

The product of its digits is 645120, while the sum is 52.

It can be divided in two parts, 14817 and 51121984, that added together give a square (51136801 = 7151²).

The spelling of 1481751121984 in words is "one trillion, four hundred eighty-one billion, seven hundred fifty-one million, one hundred twenty-one thousand, nine hundred eighty-four".