2215623456000 has 1296 divisors, whose sum is σ = 8463025862928. Its totient is φ = 577787904000.

The previous prime is 2215623455957. The next prime is 2215623456037. The reversal of 2215623456000 is 6543265122.

2215623456000 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 6 + 2 + 3 + 45 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 849081159936 + 1366542296064 = 921456^2 + 1168992^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12807071914 + ... + 12807072086.

Almost surely, 2^{2215623456000} is an apocalyptic number.

2215623456000 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 2215623456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231512931464).

2215623456000 is an abundant number, since it is smaller than the sum of its proper divisors (6247402406928).

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

2215623456000 is an frugal number, since it uses more digits than its factorization.

2215623456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2215623456000 in words is "two trillion, two hundred fifteen billion, six hundred twenty-three million, four hundred fifty-six thousand".