92416608001 has 9 divisors (see below), whose sum is σ = 93305700201. Its totient is φ = 91535917104.

The previous prime is 92416607971. The next prime is 92416608017. The reversal of 92416608001 is 10080661429.

It is a happy number.

The square root of 92416608001 is 304001.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9840838401 + 82575769600 = 99201^2 + 287360^2 .

It is not a de Polignac number, because 92416608001 - 2¹⁹ = 92416083713 is a prime.

It is a super-4 number, since 4×92416608001⁴ (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (92416608091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33134715 + ... + 33137503.

Almost surely, 2^92416608001 is an apocalyptic number.

92416608001 is the 304001-st square number.

92416608001 is the 152001-st centered octagonal number.

It is an amenable number.

92416608001 is a deficient number, since it is larger than the sum of its proper divisors (889092200).

92416608001 is an frugal number, since it uses more digits than its factorization.

92416608001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 92416608001 in words is "ninety-two billion, four hundred sixteen million, six hundred eight thousand, one".