45968646409 has 27 divisors (see below), whose sum is σ = 54161560341. Its totient is φ = 38901280320.

The previous prime is 45968646397. The next prime is 45968646419. The reversal of 45968646409 is 90464686954.

The square root of 45968646409 is 214403.

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

45968646409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6391522809 + 39577123600 = 79947^2 + 198940^2 .

It is not a de Polignac number, because 45968646409 - 2¹⁵ = 45968613641 is a prime.

It is a super-2 number, since 2×45968646409² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45968646419) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 163589349 + ... + 163589629.

Almost surely, 2^45968646409 is an apocalyptic number.

45968646409 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45968646409 is the 214403-rd square number.

45968646409 is the 107202-nd centered octagonal number.

It is an amenable number.

45968646409 is a deficient number, since it is larger than the sum of its proper divisors (8192913932).

45968646409 is an frugal number, since it uses more digits than its factorization.

45968646409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 61.

The spelling of 45968646409 in words is "forty-five billion, nine hundred sixty-eight million, six hundred forty-six thousand, four hundred nine".