1016145504 has 144 divisors (see below), whose sum is σ = 3237932880. Its totient is φ = 299566080.

The previous prime is 1016145491. The next prime is 1016145527. The reversal of 1016145504 is 4055416101.

1016145504 is a `hidden beast` number, since 1 + 0 + 16 + 145 + 504 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112882 + ... + 121550.

It is an arithmetic number, because the mean of its divisors is an integer number (22485645).

Almost surely, 2^1016145504 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 1016145504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618966440).

1016145504 is an abundant number, since it is smaller than the sum of its proper divisors (2221787376).

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

1016145504 is a wasteful number, since it uses less digits than its factorization.

1016145504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8733 (or 8722 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1016145504 is about 31877.0372525428. The cubic root of 1016145504 is about 1005.3531275590.

The spelling of 1016145504 in words is "one billion, sixteen million, one hundred forty-five thousand, five hundred four".