4283765849088 has 528 divisors, whose sum is σ = 13889409206400. Its totient is φ = 1260588072960.

The previous prime is 4283765849087. The next prime is 4283765849131. The reversal of 4283765849088 is 8809485673824.

4283765849088 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 7 + 6 + 58 + 490 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4283765849081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496433958 + ... + 496442586.

Almost surely, 2^{4283765849088} is an apocalyptic number.

4283765849088 is a gapful number since it is divisible by the number (48) 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 4283765849088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944704603200).

4283765849088 is an abundant number, since it is smaller than the sum of its proper divisors (9605643357312).

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

4283765849088 is a wasteful number, since it uses less digits than its factorization.

4283765849088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8808 (or 8787 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 4283765849088 in words is "four trillion, two hundred eighty-three billion, seven hundred sixty-five million, eight hundred forty-nine thousand, eighty-eight".