4125648163392 has 672 divisors, whose sum is σ = 14533035858432. Its totient is φ = 1093284200448.

The previous prime is 4125648163387. The next prime is 4125648163433. The reversal of 4125648163392 is 2933618465214.

It is a happy number.

4125648163392 is a `hidden beast` number, since 4 + 1 + 2 + 56 + 48 + 163 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1087698648 + ... + 1087702440.

It is an arithmetic number, because the mean of its divisors is an integer number (21626541456).

Almost surely, 2^{4125648163392} is an apocalyptic number.

4125648163392 is a gapful number since it is divisible by the number (42) 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 4125648163392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266517929216).

4125648163392 is an abundant number, since it is smaller than the sum of its proper divisors (10407387695040).

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

4125648163392 is a wasteful number, since it uses less digits than its factorization.

4125648163392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195 (or 4182 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 4125648163392 in words is "four trillion, one hundred twenty-five billion, six hundred forty-eight million, one hundred sixty-three thousand, three hundred ninety-two".