1516914144 has 72 divisors (see below), whose sum is σ = 4322059560. Its totient is φ = 504661248.

The previous prime is 1516914137. The next prime is 1516914181. The reversal of 1516914144 is 4414196151.

1516914144 is a `hidden beast` number, since 151 + 6 + 91 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 1516914099 and 1516914108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152722 + ... + 162350.

It is an arithmetic number, because the mean of its divisors is an integer number (60028605).

Almost surely, 2^1516914144 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 1516914144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161029780).

1516914144 is an abundant number, since it is smaller than the sum of its proper divisors (2805145416).

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

1516914144 is a wasteful number, since it uses less digits than its factorization.

1516914144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10192 (or 10181 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1516914144 is about 38947.5820045353. The cubic root of 1516914144 is about 1149.0008066948. Note that the first 3 decimals are identical.

The spelling of 1516914144 in words is "one billion, five hundred sixteen million, nine hundred fourteen thousand, one hundred forty-four".