48064155840 has 672 divisors, whose sum is σ = 179503693824. Its totient is φ = 12227604480.

The previous prime is 48064155827. The next prime is 48064155851. The reversal of 48064155840 is 4855146084.

It is a happy number.

48064155840 is a `hidden beast` number, since 4 + 8 + 0 + 64 + 1 + 5 + 584 + 0 = 666.

It is a super-3 number, since 3×48064155840³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 306141042 + ... + 306141198.

It is an arithmetic number, because the mean of its divisors is an integer number (267118592).

Almost surely, 2^48064155840 is an apocalyptic number.

48064155840 is a gapful number since it is divisible by the number (40) 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 48064155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89751846912).

48064155840 is an abundant number, since it is smaller than the sum of its proper divisors (131439537984).

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

48064155840 is a wasteful number, since it uses less digits than its factorization.

48064155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 48064155840 in words is "forty-eight billion, sixty-four million, one hundred fifty-five thousand, eight hundred forty".