4169781874656 has 576 divisors, whose sum is σ = 12737232668160. Its totient is φ = 1341341337600.

The previous prime is 4169781874633. The next prime is 4169781874681. The reversal of 4169781874656 is 6564781879614.

4169781874656 is a `hidden beast` number, since 4 + 1 + 6 + 9 + 7 + 81 + 87 + 465 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5735600565 + ... + 5735601291.

It is an arithmetic number, because the mean of its divisors is an integer number (22113251160).

Almost surely, 2^{4169781874656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4169781874656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368616334080).

4169781874656 is an abundant number, since it is smaller than the sum of its proper divisors (8567450793504).

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

4169781874656 is a wasteful number, since it uses less digits than its factorization.

4169781874656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1009 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 4169781874656 in words is "four trillion, one hundred sixty-nine billion, seven hundred eighty-one million, eight hundred seventy-four thousand, six hundred fifty-six".