233219328480 has 144 divisors (see below), whose sum is σ = 808908164064. Its totient is φ = 61172259840.

The previous prime is 233219328473. The next prime is 233219328487. The reversal of 233219328480 is 84823912332.

233219328480 is a `hidden beast` number, since 2 + 33 + 219 + 328 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (233219328473) and next prime (233219328487).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×233219328480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233219328487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1239684 + ... + 1415363.

It is an arithmetic number, because the mean of its divisors is an integer number (5617417806).

Almost surely, 2^233219328480 is an apocalyptic number.

233219328480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233219328480 is an abundant number, since it is smaller than the sum of its proper divisors (575688835584).

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

233219328480 is a wasteful number, since it uses less digits than its factorization.

233219328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655129 (or 2655118 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 233219328480 in words is "two hundred thirty-three billion, two hundred nineteen million, three hundred twenty-eight thousand, four hundred eighty".