10216462401 has 12 divisors (see below), whose sum is σ = 14774343012. Its totient is φ = 6803022336.

The previous prime is 10216462397. The next prime is 10216462423. The reversal of 10216462401 is 10426461201.

10216462401 is a `hidden beast` number, since 1 + 0 + 216 + 46 + 2 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3999297600 + 6217164801 = 63240^2 + 78849^2 .

It is not a de Polignac number, because 10216462401 - 2² = 10216462397 is a prime.

It is a super-2 number, since 2×10216462401² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10216462441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654576 + ... + 670001.

It is an arithmetic number, because the mean of its divisors is an integer number (1231195251).

Almost surely, 2^10216462401 is an apocalyptic number.

It is an amenable number.

10216462401 is a deficient number, since it is larger than the sum of its proper divisors (4557880611).

10216462401 is a wasteful number, since it uses less digits than its factorization.

10216462401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325440 (or 1325437 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10216462401 in words is "ten billion, two hundred sixteen million, four hundred sixty-two thousand, four hundred one".