19125412345416 has 512 divisors, whose sum is σ = 56315260108800. Its totient is φ = 5364161003520.

The previous prime is 19125412345409. The next prime is 19125412345463. The reversal of 19125412345416 is 61454321452191.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5207025756 + ... + 5207029428.

It is an arithmetic number, because the mean of its divisors is an integer number (109990742400).

Almost surely, 2^{19125412345416} 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 19125412345416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28157630054400).

19125412345416 is an abundant number, since it is smaller than the sum of its proper divisors (37189847763384).

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

19125412345416 is a wasteful number, since it uses less digits than its factorization.

19125412345416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4097 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 19125412345416 in words is "nineteen trillion, one hundred twenty-five billion, four hundred twelve million, three hundred forty-five thousand, four hundred sixteen".