1518056064 has 144 divisors (see below), whose sum is σ = 5081755770. Its totient is φ = 433714176.

The previous prime is 1518056003. The next prime is 1518056107. The reversal of 1518056064 is 4606508151.

1518056064 is a `hidden beast` number, since 15 + 1 + 80 + 560 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 924646464 + 593409600 = 30408^2 + 24360^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 43002 + ... + 69894.

Almost surely, 2^1518056064 is an apocalyptic number.

1518056064 is a gapful number since it is divisible by the number (14) 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 1518056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540877885).

1518056064 is an abundant number, since it is smaller than the sum of its proper divisors (3563699706).

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

1518056064 is a wasteful number, since it uses less digits than its factorization.

1518056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26927 (or 26905 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1518056064 is about 38962.2389500398. The cubic root of 1518056064 is about 1149.2890537052.

The spelling of 1518056064 in words is "one billion, five hundred eighteen million, fifty-six thousand, sixty-four".