146668254720 has 480 divisors, whose sum is σ = 528046640352. Its totient is φ = 34520825856.

The previous prime is 146668254709. The next prime is 146668254721. The reversal of 146668254720 is 27452866641.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×146668254720² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146668254721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52813972 + ... + 52816748.

Almost surely, 2^146668254720 is an apocalyptic number.

146668254720 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 146668254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264023320176).

146668254720 is an abundant number, since it is smaller than the sum of its proper divisors (381378385632).

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

146668254720 is a wasteful number, since it uses less digits than its factorization.

146668254720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 146668254720 in words is "one hundred forty-six billion, six hundred sixty-eight million, two hundred fifty-four thousand, seven hundred twenty".