1515456016 has 80 divisors (see below), whose sum is σ = 3189260160. Its totient is φ = 695439360.

The previous prime is 1515456011. The next prime is 1515456031. The reversal of 1515456016 is 6106545151.

It is a super-4 number, since 4×1515456016⁴ (a number of 38 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1515456011) 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, 2251456 + ... + 2252128.

It is an arithmetic number, because the mean of its divisors is an integer number (39865752).

Almost surely, 2^1515456016 is an apocalyptic number.

1515456016 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 1515456016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594630080).

1515456016 is an abundant number, since it is smaller than the sum of its proper divisors (1673804144).

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

1515456016 is a wasteful number, since it uses less digits than its factorization.

1515456016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The square root of 1515456016 is about 38928.8583957968. The cubic root of 1515456016 is about 1148.6325311044.

The spelling of 1515456016 in words is "one billion, five hundred fifteen million, four hundred fifty-six thousand, sixteen".