7416902113201 has 9 divisors (see below), whose sum is σ = 8627847083499. Its totient is φ = 6357328328064.

The previous prime is 7416902113193. The next prime is 7416902113237. The reversal of 7416902113201 is 1023112096147.

It is a happy number.

The square root of 7416902113201 is 2723399.

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., 1686738575025 + 5730163538176 = 1298745^2 + 2393776^2 .

It is not a de Polignac number, because 7416902113201 - 2³ = 7416902113193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7416902113241) 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, 18869265 + ... + 19258321.

Almost surely, 2^{7416902113201} is an apocalyptic number.

7416902113201 is the 2723399-th square number.

7416902113201 is the 1361700-th centered octagonal number.

It is an amenable number.

7416902113201 is a deficient number, since it is larger than the sum of its proper divisors (1210944970298).

7416902113201 is an frugal number, since it uses more digits than its factorization.

7416902113201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778128 (or 389064 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 7416902113201 in words is "seven trillion, four hundred sixteen billion, nine hundred two million, one hundred thirteen thousand, two hundred one".