16468524072 has 1008 divisors, whose sum is σ = 65670238080. Its totient is φ = 3821126400.

The previous prime is 16468524071. The next prime is 16468524073. The reversal of 16468524072 is 27042586461.

16468524072 is a `hidden beast` number, since 1 + 64 + 68 + 524 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (16468524071) and next prime (16468524073).

It is a super-2 number, since 2×16468524072² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16468524071) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 531242697 + ... + 531242727.

Almost surely, 2^16468524072 is an apocalyptic number.

16468524072 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 16468524072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32835119040).

16468524072 is an abundant number, since it is smaller than the sum of its proper divisors (49201714008).

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

16468524072 is a wasteful number, since it uses less digits than its factorization.

16468524072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 16468524072 in words is "sixteen billion, four hundred sixty-eight million, five hundred twenty-four thousand, seventy-two".