16849151046000 has 1920 divisors, whose sum is σ = 74689839544320. Its totient is φ = 3445327872000.

The previous prime is 16849151045999. The next prime is 16849151046019. The reversal of 16849151046000 is 64015194861.

16849151046000 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 91 + 510 + 46 + 0 + 0 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 9790325140 + ... + 9790326860.

It is an arithmetic number, because the mean of its divisors is an integer number (38900958096).

Almost surely, 2^{16849151046000} is an apocalyptic number.

16849151046000 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 16849151046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37344919772160).

16849151046000 is an abundant number, since it is smaller than the sum of its proper divisors (57840688498320).

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

16849151046000 is a wasteful number, since it uses less digits than its factorization.

16849151046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 16849151046000 in words is "sixteen trillion, eight hundred forty-nine billion, one hundred fifty-one million, forty-six thousand".