326145669120 has 576 divisors, whose sum is σ = 1210819428000. Its totient is φ = 80901832704.

The previous prime is 326145669079. The next prime is 326145669131. The reversal of 326145669120 is 21966541623.

326145669120 is a `hidden beast` number, since 3 + 2 + 61 + 4 + 566 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139436911 + ... + 139439249.

Almost surely, 2^326145669120 is an apocalyptic number.

326145669120 is a gapful number since it is divisible by the number (30) 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 326145669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605409714000).

326145669120 is an abundant number, since it is smaller than the sum of its proper divisors (884673758880).

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

326145669120 is a wasteful number, since it uses less digits than its factorization.

326145669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 326145669120 in words is "three hundred twenty-six billion, one hundred forty-five million, six hundred sixty-nine thousand, one hundred twenty".