16617825456 has 80 divisors (see below), whose sum is σ = 45493025760. Its totient is φ = 5217802240.

The previous prime is 16617825449. The next prime is 16617825461. The reversal of 16617825456 is 65452871661.

It is a happy number.

It is a super-3 number, since 3×16617825456³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16617825399 and 16617825408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88515 + ... + 202658.

It is an arithmetic number, because the mean of its divisors is an integer number (568662822).

Almost surely, 2^16617825456 is an apocalyptic number.

16617825456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16617825456 is an abundant number, since it is smaller than the sum of its proper divisors (28875200304).

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

16617825456 is a wasteful number, since it uses less digits than its factorization.

16617825456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291254 (or 291248 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The spelling of 16617825456 in words is "sixteen billion, six hundred seventeen million, eight hundred twenty-five thousand, four hundred fifty-six".