2916129969408 has 144 divisors (see below), whose sum is σ = 8221614198336. Its totient is φ = 914428231680.

The previous prime is 2916129969407. The next prime is 2916129969413. The reversal of 2916129969408 is 8049699216192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2916129969407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27900735 + ... + 28005057.

It is an arithmetic number, because the mean of its divisors is an integer number (57094543044).

Almost surely, 2^{2916129969408} 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 2916129969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110807099168).

2916129969408 is an abundant number, since it is smaller than the sum of its proper divisors (5305484228928).

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

2916129969408 is a wasteful number, since it uses less digits than its factorization.

2916129969408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106500 (or 106486 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 66.

The spelling of 2916129969408 in words is "two trillion, nine hundred sixteen billion, one hundred twenty-nine million, nine hundred sixty-nine thousand, four hundred eight".