48073163040 has 1440 divisors, whose sum is σ = 215301938544. Its totient is φ = 10032906240.

The previous prime is 48073163027. The next prime is 48073163041. The reversal of 48073163040 is 4036137084.

It can be written as a sum of positive squares in 8 ways, for example, as 15061180176 + 33011982864 = 122724^2 + 181692^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×48073163040³ (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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 48073162986 and 48073163004.

It is not an unprimeable number, because it can be changed into a prime (48073163041) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 658536444 + ... + 658536516.

Almost surely, 2^48073163040 is an apocalyptic number.

48073163040 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 48073163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107650969272).

48073163040 is an abundant number, since it is smaller than the sum of its proper divisors (167228775504).

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

48073163040 is a wasteful number, since it uses less digits than its factorization.

48073163040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 48073163040 in words is "forty-eight billion, seventy-three million, one hundred sixty-three thousand, forty".