73446962121 has 27 divisors (see below), whose sum is σ = 114895115829. Its totient is φ = 45191626272.

The previous prime is 73446962111. The next prime is 73446962131. The reversal of 73446962121 is 12126964437.

The square root of 73446962121 is 271011.

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

73446962121 is a `hidden beast` number, since 7 + 3 + 4 + 469 + 62 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (73446962111) and next prime (73446962131).

It can be written as a sum of positive squares in 4 ways, for example, as 79655625 + 73367306496 = 8925^2 + 270864^2 .

It is not a de Polignac number, because 73446962121 - 2¹¹ = 73446960073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73446962111) 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 26 ways as a sum of consecutive naturals, for example, 10565955 + ... + 10572903.

Almost surely, 2^73446962121 is an apocalyptic number.

73446962121 is the 271011-st square number.

73446962121 is the 135506-th centered octagonal number.

It is an amenable number.

73446962121 is a deficient number, since it is larger than the sum of its proper divisors (41448153708).

73446962121 is an frugal number, since it uses more digits than its factorization.

73446962121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13930 (or 6965 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 73446962121 in words is "seventy-three billion, four hundred forty-six million, nine hundred sixty-two thousand, one hundred twenty-one".