16949496009600 has 1152 divisors, whose sum is σ = 76358505600000. Its totient is φ = 3477355315200.

The previous prime is 16949496009557. The next prime is 16949496009613. The reversal of 16949496009600 is 690069494961.

16949496009600 is a `hidden beast` number, since 16 + 9 + 4 + 9 + 4 + 9 + 6 + 0 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 175142026 + ... + 175238774.

It is an arithmetic number, because the mean of its divisors is an integer number (66283425000).

Almost surely, 2^{16949496009600} is an apocalyptic number.

16949496009600 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 16949496009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38179252800000).

16949496009600 is an abundant number, since it is smaller than the sum of its proper divisors (59409009590400).

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

16949496009600 is a wasteful number, since it uses less digits than its factorization.

16949496009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96876 (or 96856 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 16949496009600 in words is "sixteen trillion, nine hundred forty-nine billion, four hundred ninety-six million, nine thousand, six hundred".