223960778496 has 1152 divisors, whose sum is σ = 864358871040. Its totient is φ = 55589732352.

The previous prime is 223960778479. The next prime is 223960778537. The reversal of 223960778496 is 694877069322.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1634750140 + ... + 1634750276.

It is an arithmetic number, because the mean of its divisors is an integer number (750311520).

Almost surely, 2^223960778496 is an apocalyptic number.

223960778496 is a gapful number since it is divisible by the number (26) 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 223960778496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432179435520).

223960778496 is an abundant number, since it is smaller than the sum of its proper divisors (640398092544).

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

223960778496 is a wasteful number, since it uses less digits than its factorization.

223960778496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 223960778496 in words is "two hundred twenty-three billion, nine hundred sixty million, seven hundred seventy-eight thousand, four hundred ninety-six".