16111987976448 has 540 divisors, whose sum is σ = 60185826721020. Its totient is φ = 4249312026624.

The previous prime is 16111987976423. The next prime is 16111987976467. The reversal of 16111987976448 is 84467978911161.

It is a happy number.

16111987976448 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 1 + 98 + 7 + 97 + 6 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4476575787264 + 11635412189184 = 2115792^2 + 3411072^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12598938 + ... + 13818726.

Almost surely, 2^{16111987976448} is an apocalyptic number.

16111987976448 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 16111987976448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30092913360510).

16111987976448 is an abundant number, since it is smaller than the sum of its proper divisors (44073838744572).

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

16111987976448 is a wasteful number, since it uses less digits than its factorization.

16111987976448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219844 (or 1219814 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 72.

The spelling of 16111987976448 in words is "sixteen trillion, one hundred eleven billion, nine hundred eighty-seven million, nine hundred seventy-six thousand, four hundred forty-eight".