16524956448 has 864 divisors, whose sum is σ = 66269443968. Its totient is φ = 3941498880.

The previous prime is 16524956401. The next prime is 16524956501. The reversal of 16524956448 is 84465942561.

It is a happy number.

16524956448 is a `hidden beast` number, since 1 + 6 + 52 + 495 + 64 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16524956394 and 16524956403.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85621440 + ... + 85621632.

Almost surely, 2^16524956448 is an apocalyptic number.

16524956448 is a gapful number since it is divisible by the number (18) 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 16524956448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33134721984).

16524956448 is an abundant number, since it is smaller than the sum of its proper divisors (49744487520).

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

16524956448 is a wasteful number, since it uses less digits than its factorization.

16524956448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 229 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 16524956448 in words is "sixteen billion, five hundred twenty-four million, nine hundred fifty-six thousand, four hundred forty-eight".