23278833887232 has 384 divisors, whose sum is σ = 77932549094400. Its totient is φ = 6002933760000.

The previous prime is 23278833887227. The next prime is 23278833887251.

23278833887232 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65582232 + ... + 65936232.

It is an arithmetic number, because the mean of its divisors is an integer number (202949346600).

Almost surely, 2^{23278833887232} is an apocalyptic number.

23278833887232 is a gapful number since it is divisible by the number (22) 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 23278833887232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38966274547200).

23278833887232 is an abundant number, since it is smaller than the sum of its proper divisors (54653715207168).

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

23278833887232 is a wasteful number, since it uses less digits than its factorization.

23278833887232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354183 (or 354163 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 66.

The spelling of 23278833887232 in words is "twenty-three trillion, two hundred seventy-eight billion, eight hundred thirty-three million, eight hundred eighty-seven thousand, two hundred thirty-two".