523546416002141 has 64 divisors (see below), whose sum is σ = 663587041075200. Its totient is φ = 403089766523136.

The previous prime is 523546416002081. The next prime is 523546416002153. The reversal of 523546416002141 is 141200614645325.

It is a happy number.

It is not a de Polignac number, because 523546416002141 - 2³⁴ = 523529236132957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 523546416002092 and 523546416002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523546416004141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 462931520 + ... + 464061078.

It is an arithmetic number, because the mean of its divisors is an integer number (10368547516800).

Almost surely, 2^{523546416002141} is an apocalyptic number.

It is an amenable number.

523546416002141 is a deficient number, since it is larger than the sum of its proper divisors (140040625073059).

523546416002141 is a wasteful number, since it uses less digits than its factorization.

523546416002141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132338.

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 523546416002141 in words is "five hundred twenty-three trillion, five hundred forty-six billion, four hundred sixteen million, two thousand, one hundred forty-one".