48956290956 has 144 divisors (see below), whose sum is σ = 129736807200. Its totient is φ = 15545779200.

The previous prime is 48956290931. The next prime is 48956291009. The reversal of 48956290956 is 65909265984.

48956290956 is a `hidden beast` number, since 489 + 5 + 62 + 9 + 0 + 95 + 6 = 666.

48956290956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48956290956³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48956290893 and 48956290902.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31975911 + ... + 31977441.

It is an arithmetic number, because the mean of its divisors is an integer number (900950050).

Almost surely, 2^48956290956 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 48956290956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64868403600).

48956290956 is an abundant number, since it is smaller than the sum of its proper divisors (80780516244).

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

48956290956 is a wasteful number, since it uses less digits than its factorization.

48956290956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 48956290956 in words is "forty-eight billion, nine hundred fifty-six million, two hundred ninety thousand, nine hundred fifty-six".