64184628963961 has 45 divisors (see below), whose sum is σ = 71662071775455. Its totient is φ = 57486900921120.

The previous prime is 64184628963941. The next prime is 64184628963971. The reversal of 64184628963961 is 16936982648146.

The square root of 64184628963961 is 8011531.

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., 36434322127225 + 27750306836736 = 6036085^2 + 5267856^2 .

It is not a de Polignac number, because 64184628963961 - 2²¹ = 64184626866809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64184628963941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 70765852870 + ... + 70765853776.

It is an arithmetic number, because the mean of its divisors is an integer number (1592490483899).

Almost surely, 2^{64184628963961} is an apocalyptic number.

64184628963961 is the 8011531-st square number.

64184628963961 is the 4005766-th centered octagonal number.

It is an amenable number.

64184628963961 is a deficient number, since it is larger than the sum of its proper divisors (7477442811494).

64184628963961 is an frugal number, since it uses more digits than its factorization.

64184628963961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 991 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 73.

The spelling of 64184628963961 in words is "sixty-four trillion, one hundred eighty-four billion, six hundred twenty-eight million, nine hundred sixty-three thousand, nine hundred sixty-one".