1545856416 has 288 divisors, whose sum is σ = 5151444480. Its totient is φ = 435456000.

The previous prime is 1545856387. The next prime is 1545856423. The reversal of 1545856416 is 6146585451.

1545856416 is a `hidden beast` number, since 1 + 5 + 4 + 585 + 64 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2204866 + ... + 2205566.

It is an arithmetic number, because the mean of its divisors is an integer number (17886960).

Almost surely, 2^1545856416 is an apocalyptic number.

1545856416 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 1545856416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575722240).

1545856416 is an abundant number, since it is smaller than the sum of its proper divisors (3605588064).

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

1545856416 is a wasteful number, since it uses less digits than its factorization.

1545856416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 769 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 1545856416 is about 39317.3805841640. The cubic root of 1545856416 is about 1156.2623495111.

The spelling of 1545856416 in words is "one billion, five hundred forty-five million, eight hundred fifty-six thousand, four hundred sixteen".