1014936516 has 144 divisors (see below), whose sum is σ = 2993215680. Its totient is φ = 286556160.

The previous prime is 1014936491. The next prime is 1014936521. The reversal of 1014936516 is 6156394101.

1014936516 is a `hidden beast` number, since 101 + 4 + 9 + 36 + 516 = 666.

It is a super-2 number, since 2×1014936516² = 2060192263020436512, which contains 22 as substring.

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

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, 719620 + ... + 721028.

It is an arithmetic number, because the mean of its divisors is an integer number (20786220).

Almost surely, 2^1014936516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014936516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496607840).

1014936516 is an abundant number, since it is smaller than the sum of its proper divisors (1978279164).

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

1014936516 is a wasteful number, since it uses less digits than its factorization.

1014936516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1014936516 is about 31858.0683030218. The cubic root of 1014936516 is about 1004.9542535054.

It can be divided in two parts, 10149 and 36516, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 1014936516 in words is "one billion, fourteen million, nine hundred thirty-six thousand, five hundred sixteen".