2263423627350 has 288 divisors, whose sum is σ = 6334946055360. Its totient is φ = 578889400320.

The previous prime is 2263423627301. The next prime is 2263423627373. The reversal of 2263423627350 is 537263243622.

2263423627350 is a `hidden beast` number, since 2 + 2 + 6 + 342 + 36 + 273 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2263423627296 and 2263423627305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 523090887 + ... + 523095213.

It is an arithmetic number, because the mean of its divisors is an integer number (21996340470).

Almost surely, 2^{2263423627350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263423627350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167473027680).

2263423627350 is an abundant number, since it is smaller than the sum of its proper divisors (4071522428010).

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

2263423627350 is a wasteful number, since it uses less digits than its factorization.

2263423627350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 2263423627350 in words is "two trillion, two hundred sixty-three billion, four hundred twenty-three million, six hundred twenty-seven thousand, three hundred fifty".