5138273434176 has 315 divisors, whose sum is σ = 16085007200889. Its totient is φ = 1621633416192.

The previous prime is 5138273434169. The next prime is 5138273434183. The reversal of 5138273434176 is 6714343728315.

The square root of 5138273434176 is 2266776.

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

5138273434176 is a `hidden beast` number, since 5 + 1 + 38 + 2 + 7 + 3 + 434 + 176 = 666.

It is an interprime number because it is at equal distance from previous prime (5138273434169) and next prime (5138273434183).

It can be written as a sum of positive squares in only one way, i.e., 1636045646400 + 3502227787776 = 1279080^2 + 1871424^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3100948740 + ... + 3100950396.

Almost surely, 2^{5138273434176} is an apocalyptic number.

5138273434176 is the 2266776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5138273434176

5138273434176 is an abundant number, since it is smaller than the sum of its proper divisors (10946733766713).

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

5138273434176 is an frugal number, since it uses more digits than its factorization.

5138273434176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 1681 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 5138273434176 in words is "five trillion, one hundred thirty-eight billion, two hundred seventy-three million, four hundred thirty-four thousand, one hundred seventy-six".