7192045876401 has 9 divisors (see below), whose sum is σ = 10388522331499. Its totient is φ = 4794691887336.

The previous prime is 7192045876399. The next prime is 7192045876427. The reversal of 7192045876401 is 1046785402917.

The square root of 7192045876401 is 2681799.

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

7192045876401 is a `hidden beast` number, since 7 + 19 + 2 + 0 + 4 + 587 + 6 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3985353432225 + 3206692444176 = 1996335^2 + 1790724^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 7192045876401 - 2¹ = 7192045876399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7192045076401) 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, 7598431 + ... + 8492363.

Almost surely, 2^{7192045876401} is an apocalyptic number.

7192045876401 is the 2681799-th square number.

7192045876401 is the 1340900-th centered octagonal number.

It is an amenable number.

7192045876401 is a deficient number, since it is larger than the sum of its proper divisors (3196476455098).

7192045876401 is an frugal number, since it uses more digits than its factorization.

7192045876401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787872 (or 893936 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 7192045876401 in words is "seven trillion, one hundred ninety-two billion, forty-five million, eight hundred seventy-six thousand, four hundred one".