5145363538336 has 192 divisors, whose sum is σ = 11967640731648. Its totient is φ = 2132028407808.

The previous prime is 5145363538333. The next prime is 5145363538351. The reversal of 5145363538336 is 6338353635415.

It is not an unprimeable number, because it can be changed into a prime (5145363538331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436047201 + ... + 1436050783.

It is an arithmetic number, because the mean of its divisors is an integer number (62331462144).

Almost surely, 2^{5145363538336} is an apocalyptic number.

5145363538336 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 5145363538336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983820365824).

5145363538336 is an abundant number, since it is smaller than the sum of its proper divisors (6822277193312).

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

5145363538336 is a wasteful number, since it uses less digits than its factorization.

5145363538336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383 (or 5375 counting only the distinct ones).

The product of its digits is 34992000, while the sum is 55.

The spelling of 5145363538336 in words is "five trillion, one hundred forty-five billion, three hundred sixty-three million, five hundred thirty-eight thousand, three hundred thirty-six".