7138610716401 has 48 divisors (see below), whose sum is σ = 10730083936000. Its totient is φ = 4569833933280.

The previous prime is 7138610716387. The next prime is 7138610716411. The reversal of 7138610716401 is 1046170168317.

It is a happy number.

7138610716401 is a `hidden beast` number, since 7 + 1 + 386 + 107 + 164 + 0 + 1 = 666.

It is not a de Polignac number, because 7138610716401 - 2¹⁰ = 7138610715377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7138610716411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12662706 + ... + 13214436.

Almost surely, 2^{7138610716401} is an apocalyptic number.

It is an amenable number.

7138610716401 is a deficient number, since it is larger than the sum of its proper divisors (3591473219599).

7138610716401 is a wasteful number, since it uses less digits than its factorization.

7138610716401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552346 (or 552343 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 7138610716401 in words is "seven trillion, one hundred thirty-eight billion, six hundred ten million, seven hundred sixteen thousand, four hundred one".