1046756118321 has 81 divisors (see below), whose sum is σ = 1670091025291. Its totient is φ = 655904184768.

The previous prime is 1046756118319. The next prime is 1046756118329. The reversal of 1046756118321 is 1238116576401.

The square root of 1046756118321 is 1023111.

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

1046756118321 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 7 + 5 + 611 + 8 + 3 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 814948535025 + 231807583296 = 902745^2 + 481464^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 1046756118321 - 2¹ = 1046756118319 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1046756118329) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1408823476 + ... + 1408824218.

Almost surely, 2^{1046756118321} is an apocalyptic number.

1046756118321 is the 1023111-st square number.

1046756118321 is the 511556-th centered octagonal number.

It is an amenable number.

1046756118321 is a deficient number, since it is larger than the sum of its proper divisors (623334906970).

1046756118321 is an frugal number, since it uses more digits than its factorization.

1046756118321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1046756118321 in words is "one trillion, forty-six billion, seven hundred fifty-six million, one hundred eighteen thousand, three hundred twenty-one".