1916201484288 has 1680 divisors, whose sum is σ = 7412706973056. Its totient is φ = 481579499520.

The previous prime is 1916201484287. The next prime is 1916201484313. The reversal of 1916201484288 is 8824841026191.

1916201484288 is a `hidden beast` number, since 1 + 9 + 1 + 6 + 201 + 4 + 8 + 428 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1916201484283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 44562825195 + ... + 44562825237.

Almost surely, 2^{1916201484288} is an apocalyptic number.

1916201484288 is a gapful number since it is divisible by the number (18) 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 1916201484288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706353486528).

1916201484288 is an abundant number, since it is smaller than the sum of its proper divisors (5496505488768).

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

1916201484288 is an frugal number, since it uses more digits than its factorization.

1916201484288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 1916201484288 in words is "one trillion, nine hundred sixteen billion, two hundred one million, four hundred eighty-four thousand, two hundred eighty-eight".