1865582428416 has 864 divisors, whose sum is σ = 6646436536320. Its totient is φ = 459841536000.

The previous prime is 1865582428387. The next prime is 1865582428427. The reversal of 1865582428416 is 6148242855681.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1865582428416.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 376806741 + ... + 376811691.

It is an arithmetic number, because the mean of its divisors is an integer number (7692634880).

Almost surely, 2^{1865582428416} is an apocalyptic number.

1865582428416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1865582428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323218268160).

1865582428416 is an abundant number, since it is smaller than the sum of its proper divisors (4780854107904).

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

1865582428416 is a wasteful number, since it uses less digits than its factorization.

1865582428416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5030 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 60.

The spelling of 1865582428416 in words is "one trillion, eight hundred sixty-five billion, five hundred eighty-two million, four hundred twenty-eight thousand, four hundred sixteen".