321154968960 has 1440 divisors, whose sum is σ = 1400515855200. Its totient is φ = 69921460224.

The previous prime is 321154968931. The next prime is 321154968961. The reversal of 321154968960 is 69869451123.

321154968960 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 549 + 6 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 321154968897 and 321154968906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321154968961) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1343744521 + ... + 1343744759.

It is an arithmetic number, because the mean of its divisors is an integer number (972580455).

Almost surely, 2^321154968960 is an apocalyptic number.

321154968960 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 321154968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700257927600).

321154968960 is an abundant number, since it is smaller than the sum of its proper divisors (1079360886240).

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

321154968960 is a wasteful number, since it uses less digits than its factorization.

321154968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 321154968960 in words is "three hundred twenty-one billion, one hundred fifty-four million, nine hundred sixty-eight thousand, nine hundred sixty".