1018658016 has 144 divisors (see below), whose sum is σ = 3034257408. Its totient is φ = 323769600.

The previous prime is 1018658009. The next prime is 1018658029. The reversal of 1018658016 is 6108568101.

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

It is a super-2 number, since 2×1018658016² = 2075328307122112512, which contains 22 as substring.

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

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, 633085 + ... + 634691.

It is an arithmetic number, because the mean of its divisors is an integer number (21071232).

Almost surely, 2^1018658016 is an apocalyptic number.

1018658016 is a gapful number since it is divisible by the number (16) 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 1018658016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517128704).

1018658016 is an abundant number, since it is smaller than the sum of its proper divisors (2015599392).

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

1018658016 is a wasteful number, since it uses less digits than its factorization.

1018658016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1018658016 is about 31916.4223558970. The cubic root of 1018658016 is about 1006.1810545151.

The spelling of 1018658016 in words is "one billion, eighteen million, six hundred fifty-eight thousand, sixteen".