168814464 has 128 divisors (see below), whose sum is σ = 552007680. Its totient is φ = 44513280.

The previous prime is 168814439. The next prime is 168814483. The reversal of 168814464 is 464418861.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32529 + ... + 37359.

It is an arithmetic number, because the mean of its divisors is an integer number (4312560).

Almost surely, 2^168814464 is an apocalyptic number.

168814464 is a gapful number since it is divisible by the number (14) 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 168814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276003840).

168814464 is an abundant number, since it is smaller than the sum of its proper divisors (383193216).

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

168814464 is a wasteful number, since it uses less digits than its factorization.

168814464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4856 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 168814464 is about 12992.8620403666. The cubic root of 168814464 is about 552.6750824767.

The spelling of 168814464 in words is "one hundred sixty-eight million, eight hundred fourteen thousand, four hundred sixty-four".