7538461538463 has 24 divisors (see below), whose sum is σ = 10896655770000. Its totient is φ = 5022056939904.

The previous prime is 7538461538453. The next prime is 7538461538467. The reversal of 7538461538463 is 3648351648357.

7538461538463 is a `hidden beast` number, since 7 + 5 + 3 + 8 + 4 + 615 + 3 + 8 + 4 + 6 + 3 = 666.

It is not a de Polignac number, because 7538461538463 - 2¹⁷ = 7538461407391 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7538461538463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7538461538467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205115413 + ... + 205152161.

It is an arithmetic number, because the mean of its divisors is an integer number (454027323750).

Almost surely, 2^{7538461538463} is an apocalyptic number.

7538461538463 is a deficient number, since it is larger than the sum of its proper divisors (3358194231537).

7538461538463 is a wasteful number, since it uses less digits than its factorization.

7538461538463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52391 (or 52388 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 7538461538463 in words is "seven trillion, five hundred thirty-eight billion, four hundred sixty-one million, five hundred thirty-eight thousand, four hundred sixty-three".