16258741632 has 256 divisors, whose sum is σ = 55042790400. Its totient is φ = 4628275200.

The previous prime is 16258741619. The next prime is 16258741649. The reversal of 16258741632 is 23614785261.

16258741632 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 8 + 7 + 4 + 1 + 632 = 666.

It is a super-2 number, since 2×16258741632² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7522632 + ... + 7524792.

It is an arithmetic number, because the mean of its divisors is an integer number (215010900).

Almost surely, 2^16258741632 is an apocalyptic number.

16258741632 is a gapful number since it is divisible by the number (12) 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 16258741632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27521395200).

16258741632 is an abundant number, since it is smaller than the sum of its proper divisors (38784048768).

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

16258741632 is a wasteful number, since it uses less digits than its factorization.

16258741632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2484 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 16258741632 in words is "sixteen billion, two hundred fifty-eight million, seven hundred forty-one thousand, six hundred thirty-two".