16147048135680 has 2464 divisors, whose sum is σ = 76241012175360. Its totient is φ = 3177564733440.

The previous prime is 16147048135651. The next prime is 16147048135711. The reversal of 16147048135680 is 8653184074161.

16147048135680 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 70 + 4 + 8 + 1 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5460616762 + ... + 5460619718.

Almost surely, 2^{16147048135680} is an apocalyptic number.

16147048135680 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 16147048135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38120506087680).

16147048135680 is an abundant number, since it is smaller than the sum of its proper divisors (60093964039680).

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

16147048135680 is a wasteful number, since it uses less digits than its factorization.

16147048135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 16147048135680 in words is "sixteen trillion, one hundred forty-seven billion, forty-eight million, one hundred thirty-five thousand, six hundred eighty".