15441164362116 has 144 divisors (see below), whose sum is σ = 41283956750400. Its totient is φ = 4852712160000.

The previous prime is 15441164362067. The next prime is 15441164362181. The reversal of 15441164362116 is 61126346114451.

15441164362116 is a `hidden beast` number, since 1 + 5 + 4 + 4 + 1 + 1 + 6 + 4 + 3 + 621 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210963046 + ... + 211036226.

It is an arithmetic number, because the mean of its divisors is an integer number (286694144100).

Almost surely, 2^{15441164362116} 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 15441164362116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20641978375200).

15441164362116 is an abundant number, since it is smaller than the sum of its proper divisors (25842792388284).

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

15441164362116 is a wasteful number, since it uses less digits than its factorization.

15441164362116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74690 (or 74685 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 15441164362116 in words is "fifteen trillion, four hundred forty-one billion, one hundred sixty-four million, three hundred sixty-two thousand, one hundred sixteen".