48961291392 has 192 divisors, whose sum is σ = 151897145400. Its totient is φ = 15048327168.

The previous prime is 48961291367. The next prime is 48961291453. The reversal of 48961291392 is 29319216984.

48961291392 is a `hidden beast` number, since 4 + 8 + 9 + 612 + 9 + 13 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35684721216 + 13276570176 = 188904^2 + 115224^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25593028 + ... + 25594940.

Almost surely, 2^48961291392 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 48961291392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75948572700).

48961291392 is an abundant number, since it is smaller than the sum of its proper divisors (102935854008).

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

48961291392 is a wasteful number, since it uses less digits than its factorization.

48961291392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3640 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 48961291392 in words is "forty-eight billion, nine hundred sixty-one million, two hundred ninety-one thousand, three hundred ninety-two".