3029147561104 has 240 divisors, whose sum is σ = 7100839624320. Its totient is φ = 1225779609600.

The previous prime is 3029147561093. The next prime is 3029147561113. The reversal of 3029147561104 is 4011657419203.

It is a happy number.

It is a super-2 number, since 2×3029147561104² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1892033904 + ... + 1892035504.

It is an arithmetic number, because the mean of its divisors is an integer number (29586831768).

Almost surely, 2^{3029147561104} 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 3029147561104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550419812160).

3029147561104 is an abundant number, since it is smaller than the sum of its proper divisors (4071692063216).

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

3029147561104 is a wasteful number, since it uses less digits than its factorization.

3029147561104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 3029147561104 in words is "three trillion, twenty-nine billion, one hundred forty-seven million, five hundred sixty-one thousand, one hundred four".