438725151723000 has 64 divisors (see below), whose sum is σ = 1368822473385120. Its totient is φ = 116993373792000.

The previous prime is 438725151722959. The next prime is 438725151723029. The reversal of 438725151723000 is 327151527834.

It is a super-3 number, since 3×438725151723000³ (a number of 45 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 73120855621 + ... + 73120861620.

Almost surely, 2^{438725151723000} is an apocalyptic number.

438725151723000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438725151723000 is an abundant number, since it is smaller than the sum of its proper divisors (930097321662120).

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

438725151723000 is a wasteful number, since it uses less digits than its factorization.

438725151723000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146241717265 (or 146241717251 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 438725151723000 in words is "four hundred thirty-eight trillion, seven hundred twenty-five billion, one hundred fifty-one million, seven hundred twenty-three thousand".