2214645796800 has 672 divisors, whose sum is σ = 8233583532800. Its totient is φ = 578907648000.

The previous prime is 2214645796793. The next prime is 2214645796813. The reversal of 2214645796800 is 86975464122.

2214645796800 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 6 + 4 + 579 + 68 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 872249931 + ... + 872252469.

Almost surely, 2^{2214645796800} is an apocalyptic number.

2214645796800 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 2214645796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116791766400).

2214645796800 is an abundant number, since it is smaller than the sum of its proper divisors (6018937736000).

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

2214645796800 is a wasteful number, since it uses less digits than its factorization.

2214645796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2214645796800 in words is "two trillion, two hundred fourteen billion, six hundred forty-five million, seven hundred ninety-six thousand, eight hundred".