1541350016 has 64 divisors (see below), whose sum is σ = 3273514560. Its totient is φ = 720384000.

The previous prime is 1541350009. The next prime is 1541350049. The reversal of 1541350016 is 6100531451.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326231 + ... + 330921.

It is an arithmetic number, because the mean of its divisors is an integer number (51148665).

Almost surely, 2^1541350016 is an apocalyptic number.

1541350016 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 1541350016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636757280).

1541350016 is an abundant number, since it is smaller than the sum of its proper divisors (1732164544).

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

1541350016 is a wasteful number, since it uses less digits than its factorization.

1541350016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 1541350016 is about 39260.0307692187. The cubic root of 1541350016 is about 1155.1376973942.

Adding to 1541350016 its reverse (6100531451), we get a palindrome (7641881467).

The spelling of 1541350016 in words is "one billion, five hundred forty-one million, three hundred fifty thousand, sixteen".