5141654900928 has 1008 divisors, whose sum is σ = 18719643983040. Its totient is φ = 1337312083968.

The previous prime is 5141654900923. The next prime is 5141654900929. The reversal of 5141654900928 is 8290094561415.

5141654900928 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 6 + 549 + 0 + 0 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×5141654900928² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5141654900923) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11712197733 + ... + 11712198171.

It is an arithmetic number, because the mean of its divisors is an integer number (18571075380).

Almost surely, 2^{5141654900928} 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 5141654900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359821991520).

5141654900928 is an abundant number, since it is smaller than the sum of its proper divisors (13577989082112).

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

5141654900928 is a wasteful number, since it uses less digits than its factorization.

5141654900928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 5141654900928 in words is "five trillion, one hundred forty-one billion, six hundred fifty-four million, nine hundred thousand, nine hundred twenty-eight".