4064232948048 has 600 divisors, whose sum is σ = 14830486512072. Its totient is φ = 1065024350208.

The previous prime is 4064232948031. The next prime is 4064232948151. The reversal of 4064232948048 is 8408492324604.

It is a happy number.

4064232948048 is a `hidden beast` number, since 40 + 64 + 2 + 3 + 29 + 480 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 194703327504 + 3869529620544 = 441252^2 + 1967112^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4064232947985 and 4064232948003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 129595986 + ... + 129627342.

Almost surely, 2^{4064232948048} is an apocalyptic number.

4064232948048 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 4064232948048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415243256036).

4064232948048 is an abundant number, since it is smaller than the sum of its proper divisors (10766253564024).

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

4064232948048 is a wasteful number, since it uses less digits than its factorization.

4064232948048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31561 (or 31539 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 4064232948048 in words is "four trillion, sixty-four billion, two hundred thirty-two million, nine hundred forty-eight thousand, forty-eight".