2351223460800 has 1344 divisors, whose sum is σ = 9619634304000. Its totient is φ = 555154145280.

The previous prime is 2351223460763. The next prime is 2351223460813. The reversal of 2351223460800 is 80643221532.

2351223460800 is a `hidden beast` number, since 2 + 3 + 5 + 12 + 2 + 34 + 608 + 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2330250696 + ... + 2330251704.

It is an arithmetic number, because the mean of its divisors is an integer number (7157466000).

Almost surely, 2^{2351223460800} is an apocalyptic number.

2351223460800 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 2351223460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809817152000).

2351223460800 is an abundant number, since it is smaller than the sum of its proper divisors (7268410843200).

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

2351223460800 is a wasteful number, since it uses less digits than its factorization.

2351223460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2351223460800 in words is "two trillion, three hundred fifty-one billion, two hundred twenty-three million, four hundred sixty thousand, eight hundred".