321449148000 has 576 divisors, whose sum is σ = 1189182339072. Its totient is φ = 85277836800.

The previous prime is 321449147989. The next prime is 321449148001. The reversal of 321449148000 is 841944123.

It is a happy number.

321449148000 is a `hidden beast` number, since 32 + 144 + 9 + 1 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321449148001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216755259 + ... + 216756741.

It is an arithmetic number, because the mean of its divisors is an integer number (2064552672).

Almost surely, 2^321449148000 is an apocalyptic number.

321449148000 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 321449148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594591169536).

321449148000 is an abundant number, since it is smaller than the sum of its proper divisors (867733191072).

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

321449148000 is a wasteful number, since it uses less digits than its factorization.

321449148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 321449148000 in words is "three hundred twenty-one billion, four hundred forty-nine million, one hundred forty-eight thousand".