2101547343168 has 784 divisors, whose sum is σ = 8030374039296. Its totient is φ = 530131599360.

The previous prime is 2101547343163. The next prime is 2101547343227. The reversal of 2101547343168 is 8613437451012.

2101547343168 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 547 + 3 + 43 + 1 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101547343163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 97640248 + ... + 97661768.

Almost surely, 2^{2101547343168} is an apocalyptic number.

2101547343168 is a gapful number since it is divisible by the number (28) 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 2101547343168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015187019648).

2101547343168 is an abundant number, since it is smaller than the sum of its proper divisors (5928826696128).

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

2101547343168 is a wasteful number, since it uses less digits than its factorization.

2101547343168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21594 (or 21569 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2101547343168 in words is "two trillion, one hundred one billion, five hundred forty-seven million, three hundred forty-three thousand, one hundred sixty-eight".