168994969021440 has 880 divisors, whose sum is σ = 637781739724800. Its totient is φ = 42671598501888.

The previous prime is 168994969021369. The next prime is 168994969021453. The reversal of 168994969021440 is 44120969499861.

168994969021440 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 9 + 4 + 96 + 90 + 2 + 1 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20006503297 + ... + 20006511743.

It is an arithmetic number, because the mean of its divisors is an integer number (724751976960).

Almost surely, 2^{168994969021440} is an apocalyptic number.

168994969021440 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 168994969021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318890869862400).

168994969021440 is an abundant number, since it is smaller than the sum of its proper divisors (468786770703360).

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

168994969021440 is a wasteful number, since it uses less digits than its factorization.

168994969021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11042 (or 11015 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 168994969021440 in words is "one hundred sixty-eight trillion, nine hundred ninety-four billion, nine hundred sixty-nine million, twenty-one thousand, four hundred forty".