48064166436 has 288 divisors, whose sum is σ = 142050996864. Its totient is φ = 12519936000.

The previous prime is 48064166407. The next prime is 48064166477. The reversal of 48064166436 is 63466146084.

It is a super-3 number, since 3×48064166436³ (a number of 33 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 32409351 + ... + 32410833.

It is an arithmetic number, because the mean of its divisors is an integer number (493232628).

Almost surely, 2^48064166436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48064166436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71025498432).

48064166436 is an abundant number, since it is smaller than the sum of its proper divisors (93986830428).

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

48064166436 is a wasteful number, since it uses less digits than its factorization.

48064166436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 48064166436 in words is "forty-eight billion, sixty-four million, one hundred sixty-six thousand, four hundred thirty-six".