5005110101046 has 256 divisors, whose sum is σ = 11906611200000. Its totient is φ = 1385713059840.

The previous prime is 5005110101041. The next prime is 5005110101053. The reversal of 5005110101046 is 6401010115005.

It is a super-2 number, since 2×5005110101046² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005110101041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2503805955 + ... + 2503807953.

It is an arithmetic number, because the mean of its divisors is an integer number (46510200000).

Almost surely, 2^{5005110101046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005110101046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953305600000).

5005110101046 is an abundant number, since it is smaller than the sum of its proper divisors (6901501098954).

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

5005110101046 is a wasteful number, since it uses less digits than its factorization.

5005110101046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547.

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 5005110101046 in words is "five trillion, five billion, one hundred ten million, one hundred one thousand, forty-six".