220293978912 has 378 divisors, whose sum is σ = 758149778043. Its totient is φ = 62797762944.

The previous prime is 220293978869. The next prime is 220293978959. The reversal of 220293978912 is 219879392022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220293978912 is a `hidden beast` number, since 220 + 29 + 397 + 8 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110146989456 + 110146989456 = 331884^2 + 331884^2 .

It is a tau number, because it is divible by the number of its divisors (378).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=331884.

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

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 62 ways as a sum of consecutive naturals, for example, 501808389 + ... + 501808827.

Almost surely, 2^220293978912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220293978912

220293978912 is an abundant number, since it is smaller than the sum of its proper divisors (537855799131).

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

220293978912 is an frugal number, since it uses more digits than its factorization.

220293978912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 220293978912 in words is "two hundred twenty billion, two hundred ninety-three million, nine hundred seventy-eight thousand, nine hundred twelve".