915014016 has 256 divisors, whose sum is σ = 3123648000. Its totient is φ = 258287616.

The previous prime is 915013973. The next prime is 915014041. The reversal of 915014016 is 610410519.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2636755 + ... + 2637101.

It is an arithmetic number, because the mean of its divisors is an integer number (12201750).

Almost surely, 2^915014016 is an apocalyptic number.

915014016 is a gapful number since it is divisible by the number (96) 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 915014016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561824000).

915014016 is an abundant number, since it is smaller than the sum of its proper divisors (2208633984).

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

915014016 is a wasteful number, since it uses less digits than its factorization.

915014016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 915014016 is about 30249.1986009547. The cubic root of 915014016 is about 970.8286453645.

The spelling of 915014016 in words is "nine hundred fifteen million, fourteen thousand, sixteen".