1788374016 has 528 divisors, whose sum is σ = 6437733120. Its totient is φ = 470384640.

The previous prime is 1788373997. The next prime is 1788374053. The reversal of 1788374016 is 6104738871.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×1788374016² = 6396563242207936512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30311395 + ... + 30311453.

Almost surely, 2^1788374016 is an apocalyptic number.

1788374016 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 1788374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218866560).

1788374016 is an abundant number, since it is smaller than the sum of its proper divisors (4649359104).

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

1788374016 is a wasteful number, since it uses less digits than its factorization.

1788374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 1788374016 is about 42289.1713799171. The cubic root of 1788374016 is about 1213.8157927838.

The spelling of 1788374016 in words is "one billion, seven hundred eighty-eight million, three hundred seventy-four thousand, sixteen".