4148065271952 has 240 divisors, whose sum is σ = 13489737514240. Its totient is φ = 1165298918400.

The previous prime is 4148065271951. The next prime is 4148065271969. The reversal of 4148065271952 is 2591725608414.

4148065271952 is a `hidden beast` number, since 4 + 1 + 480 + 6 + 5 + 2 + 71 + 95 + 2 = 666.

It is a super-3 number, since 3×4148065271952³ (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4148065271951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188203749 + ... + 188225787.

Almost surely, 2^{4148065271952} is an apocalyptic number.

4148065271952 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 4148065271952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744868757120).

4148065271952 is an abundant number, since it is smaller than the sum of its proper divisors (9341672242288).

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

4148065271952 is a wasteful number, since it uses less digits than its factorization.

4148065271952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25182 (or 25173 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 4148065271952 in words is "four trillion, one hundred forty-eight billion, sixty-five million, two hundred seventy-one thousand, nine hundred fifty-two".