48894072192 has 576 divisors, whose sum is σ = 170195547600. Its totient is φ = 13425205248.

The previous prime is 48894072151. The next prime is 48894072193. The reversal of 48894072192 is 29127049884.

48894072192 is a `hidden beast` number, since 48 + 8 + 9 + 407 + 2 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48894072193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 176512758 + ... + 176513034.

Almost surely, 2^48894072192 is an apocalyptic number.

48894072192 is a gapful number since it is divisible by the number (42) 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 48894072192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85097773800).

48894072192 is an abundant number, since it is smaller than the sum of its proper divisors (121301475408).

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

48894072192 is a wasteful number, since it uses less digits than its factorization.

48894072192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 48894072192 in words is "forty-eight billion, eight hundred ninety-four million, seventy-two thousand, one hundred ninety-two".