16898668416000 has 5280 divisors, whose sum is σ = 80344748689920. Its totient is φ = 3511517184000.

The previous prime is 16898668415999. The next prime is 16898668416109. The reversal of 16898668416000 is 61486689861.

16898668416000 is a `hidden beast` number, since 1 + 6 + 89 + 86 + 68 + 416 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 456720767982 + ... + 456720768018.

It is an arithmetic number, because the mean of its divisors is an integer number (15216808464).

Almost surely, 2^{16898668416000} is an apocalyptic number.

16898668416000 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 16898668416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40172374344960).

16898668416000 is an abundant number, since it is smaller than the sum of its proper divisors (63446080273920).

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

16898668416000 is a wasteful number, since it uses less digits than its factorization.

16898668416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 16898668416000 in words is "sixteen trillion, eight hundred ninety-eight billion, six hundred sixty-eight million, four hundred sixteen thousand".