16745114880 has 864 divisors, whose sum is σ = 66790725120. Its totient is φ = 3968040960.

The previous prime is 16745114861. The next prime is 16745114891. The reversal of 16745114880 is 8841154761.

16745114880 is a `hidden beast` number, since 16 + 7 + 4 + 511 + 48 + 80 = 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 (45).

It is a congruent number.

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, 274510050 + ... + 274510110.

It is an arithmetic number, because the mean of its divisors is an integer number (77304080).

Almost surely, 2^16745114880 is an apocalyptic number.

16745114880 is a gapful number since it is divisible by the number (10) 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 16745114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33395362560).

16745114880 is an abundant number, since it is smaller than the sum of its proper divisors (50045610240).

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

16745114880 is a wasteful number, since it uses less digits than its factorization.

16745114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 16745114880 in words is "sixteen billion, seven hundred forty-five million, one hundred fourteen thousand, eight hundred eighty".