164783414400 has 576 divisors, whose sum is σ = 601818147840. Its totient is φ = 39597465600.

The previous prime is 164783414353. The next prime is 164783414423. The reversal of 164783414400 is 4414387461.

164783414400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164783414400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147522642 + ... + 147523758.

Almost surely, 2^164783414400 is an apocalyptic number.

164783414400 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 164783414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300909073920).

164783414400 is an abundant number, since it is smaller than the sum of its proper divisors (437034733440).

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

164783414400 is a wasteful number, since it uses less digits than its factorization.

164783414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 164783414400 in words is "one hundred sixty-four billion, seven hundred eighty-three million, four hundred fourteen thousand, four hundred".