2353321401600 has 648 divisors, whose sum is σ = 8643256650336. Its totient is φ = 560535552000.

The previous prime is 2353321401559. The next prime is 2353321401619. The reversal of 2353321401600 is 61041233532.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239860695 + ... + 239870505.

Almost surely, 2^{2353321401600} is an apocalyptic number.

2353321401600 is a gapful number since it is divisible by the number (20) 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 2353321401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321628325168).

2353321401600 is an abundant number, since it is smaller than the sum of its proper divisors (6289935248736).

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

2353321401600 is a wasteful number, since it uses less digits than its factorization.

2353321401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9915 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 2353321401600 in words is "two trillion, three hundred fifty-three billion, three hundred twenty-one million, four hundred one thousand, six hundred".