4145004864 has 756 divisors, whose sum is σ = 16532717760. Its totient is φ = 981227520.

The previous prime is 4145004859. The next prime is 4145004893. The reversal of 4145004864 is 4684005414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 52468377 + ... + 52468455.

Almost surely, 2^4145004864 is an apocalyptic number.

4145004864 is a gapful number since it is divisible by the number (44) 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 4145004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8266358880).

4145004864 is an abundant number, since it is smaller than the sum of its proper divisors (12387712896).

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

4145004864 is a wasteful number, since it uses less digits than its factorization.

4145004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4145004864 is about 64381.7121859927. The cubic root of 4145004864 is about 1606.3555625052.

The spelling of 4145004864 in words is "four billion, one hundred forty-five million, four thousand, eight hundred sixty-four".