16018641000 has 320 divisors, whose sum is σ = 59292913680. Its totient is φ = 4020019200.

The previous prime is 16018640993. The next prime is 16018641007. The reversal of 16018641000 is 14681061.

16018641000 is a `hidden beast` number, since 1 + 6 + 0 + 18 + 641 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16018640993) and next prime (16018641007).

It can be written as a sum of positive squares in 8 ways, for example, as 2652044004 + 13366596996 = 51498^2 + 115614^2 .

It is a super-4 number, since 4×16018641000⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16018641007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1371184 + ... + 1382816.

Almost surely, 2^16018641000 is an apocalyptic number.

16018641000 is a gapful number since it is divisible by the number (10) 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 16018641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29646456840).

16018641000 is an abundant number, since it is smaller than the sum of its proper divisors (43274272680).

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

16018641000 is a wasteful number, since it uses less digits than its factorization.

16018641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11683 (or 11660 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 16018641000 in words is "sixteen billion, eighteen million, six hundred forty-one thousand".