48954045984 has 96 divisors (see below), whose sum is σ = 137485575360. Its totient is φ = 15205708800.

The previous prime is 48954045977. The next prime is 48954045997.

It is a happy number.

48954045984 is nontrivially palindromic in base 10.

48954045984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108727 + ... + 331254.

It is an arithmetic number, because the mean of its divisors is an integer number (1432141410).

Almost surely, 2^48954045984 is an apocalyptic number.

It is an amenable number.

48954045984 is an abundant number, since it is smaller than the sum of its proper divisors (88531529376).

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

48954045984 is a wasteful number, since it uses less digits than its factorization.

48954045984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440074 (or 440066 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 48954045984 in words is "forty-eight billion, nine hundred fifty-four million, forty-five thousand, nine hundred eighty-four".