5746452774976 has 63 divisors (see below), whose sum is σ = 11552333309181. Its totient is φ = 2836108514304.

The previous prime is 5746452774863. The next prime is 5746452775001. The reversal of 5746452774976 is 6794772546475.

The square root of 5746452774976 is 2397176.

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., 1041787662400 + 4704665112576 = 1020680^2 + 2169024^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5746452774899 and 5746452774908.

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, 1515013336 + ... + 1515017128.

It is an arithmetic number, because the mean of its divisors is an integer number (183370369987).

Almost surely, 2^{5746452774976} is an apocalyptic number.

5746452774976 is the 2397176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5746452774976

5746452774976 is an abundant number, since it is smaller than the sum of its proper divisors (5805880534205).

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

5746452774976 is an frugal number, since it uses more digits than its factorization.

5746452774976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7756 (or 3874 counting only the distinct ones).

The product of its digits is 2489356800, while the sum is 73.

The spelling of 5746452774976 in words is "five trillion, seven hundred forty-six billion, four hundred fifty-two million, seven hundred seventy-four thousand, nine hundred seventy-six".