7581123451456 has 21 divisors (see below), whose sum is σ = 15043835559081. Its totient is φ = 3790550712192.

The previous prime is 7581123451453. The next prime is 7581123451471. The reversal of 7581123451456 is 6541543211857.

The square root of 7581123451456 is 2753384.

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., 1289133160000 + 6291990291456 = 1135400^2 + 2508384^2 .

It is a super-2 number, since 2×7581123451456² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7581123451453) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 21854986 + ... + 22199158.

It is an arithmetic number, because the mean of its divisors is an integer number (716373121861).

Almost surely, 2^{7581123451456} is an apocalyptic number.

7581123451456 is the 2753384-th square number.

It is an amenable number.

7581123451456 is a deficient number, since it is larger than the sum of its proper divisors (7462712107625).

7581123451456 is an frugal number, since it uses more digits than its factorization.

7581123451456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688358 (or 344175 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 52.

The spelling of 7581123451456 in words is "seven trillion, five hundred eighty-one billion, one hundred twenty-three million, four hundred fifty-one thousand, four hundred fifty-six".