4165248891825 has 480 divisors, whose sum is σ = 9164659257600. Its totient is φ = 1869151334400.

The previous prime is 4165248891821. The next prime is 4165248891841. The reversal of 4165248891825 is 5281988425614.

4165248891825 is a `hidden beast` number, since 4 + 1 + 6 + 524 + 8 + 89 + 1 + 8 + 25 = 666.

It is not a de Polignac number, because 4165248891825 - 2² = 4165248891821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4165248891821) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 14215866379 + ... + 14215866671.

It is an arithmetic number, because the mean of its divisors is an integer number (19093040120).

Almost surely, 2^{4165248891825} is an apocalyptic number.

4165248891825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4165248891825 is an abundant number, since it is smaller than the sum of its proper divisors (4999410365775).

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

4165248891825 is a wasteful number, since it uses less digits than its factorization.

4165248891825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 616 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 63.

The spelling of 4165248891825 in words is "four trillion, one hundred sixty-five billion, two hundred forty-eight million, eight hundred ninety-one thousand, eight hundred twenty-five".