16117773984 has 576 divisors, whose sum is σ = 55338401664. Its totient is φ = 4570546176.

The previous prime is 16117773953. The next prime is 16117774003. The reversal of 16117773984 is 48937771161.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16117773984.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142635112 + ... + 142635224.

It is an arithmetic number, because the mean of its divisors is an integer number (96073614).

Almost surely, 2^16117773984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16117773984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27669200832).

16117773984 is an abundant number, since it is smaller than the sum of its proper divisors (39220627680).

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

16117773984 is a wasteful number, since it uses less digits than its factorization.

16117773984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The spelling of 16117773984 in words is "sixteen billion, one hundred seventeen million, seven hundred seventy-three thousand, nine hundred eighty-four".