4538132657464 has 64 divisors (see below), whose sum is σ = 10060303680000. Its totient is φ = 1877772640128.

The previous prime is 4538132657441. The next prime is 4538132657521. The reversal of 4538132657464 is 4647562318354.

It is a super-2 number, since 2×4538132657464² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 4538132657399 and 4538132657408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60666117 + ... + 60740875.

It is an arithmetic number, because the mean of its divisors is an integer number (157192245000).

Almost surely, 2^{4538132657464} is an apocalyptic number.

It is an amenable number.

4538132657464 is an abundant number, since it is smaller than the sum of its proper divisors (5522171022536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4538132657464 is a wasteful number, since it uses less digits than its factorization.

4538132657464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112180 (or 112176 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 58.

The spelling of 4538132657464 in words is "four trillion, five hundred thirty-eight billion, one hundred thirty-two million, six hundred fifty-seven thousand, four hundred sixty-four".