5145540031104 has 256 divisors, whose sum is σ = 15280142901120. Its totient is φ = 1533683712000.

The previous prime is 5145540031091. The next prime is 5145540031109. The reversal of 5145540031104 is 4011300455415.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5145540031109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31094824 + ... + 31259864.

Almost surely, 2^{5145540031104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145540031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640071450560).

5145540031104 is an abundant number, since it is smaller than the sum of its proper divisors (10134602870016).

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

5145540031104 is a wasteful number, since it uses less digits than its factorization.

5145540031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165152 (or 165118 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 5145540031104 its reverse (4011300455415), we get a palindrome (9156840486519).

The spelling of 5145540031104 in words is "five trillion, one hundred forty-five billion, five hundred forty million, thirty-one thousand, one hundred four".