1545417216 has 120 divisors (see below), whose sum is σ = 5097453504. Its totient is φ = 441538560.

The previous prime is 1545417191. The next prime is 1545417217. The reversal of 1545417216 is 6127145451.

1545417216 is a `hidden beast` number, since 1 + 545 + 41 + 72 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1545417217) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8301 + ... + 56211.

Almost surely, 2^1545417216 is an apocalyptic number.

1545417216 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 1545417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548726752).

1545417216 is an abundant number, since it is smaller than the sum of its proper divisors (3552036288).

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

1545417216 is an equidigital number, since it uses as much as digits as its factorization.

1545417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47942 (or 47923 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 1545417216 is about 39311.7948712597. The cubic root of 1545417216 is about 1156.1528355614.

The spelling of 1545417216 in words is "one billion, five hundred forty-five million, four hundred seventeen thousand, two hundred sixteen".