5138046949056 has 224 divisors, whose sum is σ = 15590855328768. Its totient is φ = 1462884433920.

The previous prime is 5138046949043. The next prime is 5138046949069. The reversal of 5138046949056 is 6509496408315.

It is an interprime number because it is at equal distance from previous prime (5138046949043) and next prime (5138046949069).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×5138046949056² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471245301 + ... + 471256203.

Almost surely, 2^{5138046949056} is an apocalyptic number.

5138046949056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5138046949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795427664384).

5138046949056 is an abundant number, since it is smaller than the sum of its proper divisors (10452808379712).

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

5138046949056 is a wasteful number, since it uses less digits than its factorization.

5138046949056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12119 (or 12109 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 5138046949056 in words is "five trillion, one hundred thirty-eight billion, forty-six million, nine hundred forty-nine thousand, fifty-six".