1471878016 has 128 divisors (see below), whose sum is σ = 3642624000. Its totient is φ = 578119680.

The previous prime is 1471878011. The next prime is 1471878041. The reversal of 1471878016 is 6108781741.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1471878011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526350 + ... + 529138.

It is an arithmetic number, because the mean of its divisors is an integer number (28458000).

Almost surely, 2^1471878016 is an apocalyptic number.

1471878016 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 1471878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821312000).

1471878016 is an abundant number, since it is smaller than the sum of its proper divisors (2170745984).

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

1471878016 is a wasteful number, since it uses less digits than its factorization.

1471878016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 43.

The square root of 1471878016 is about 38365.0624396729. The cubic root of 1471878016 is about 1137.5153684032.

The spelling of 1471878016 in words is "one billion, four hundred seventy-one million, eight hundred seventy-eight thousand, sixteen".