48037192777728 has 1440 divisors, whose sum is σ = 182029117390848. Its totient is φ = 12295883980800.

The previous prime is 48037192777703. The next prime is 48037192777747. The reversal of 48037192777728 is 82777729173084.

48037192777728 is a `hidden beast` number, since 4 + 80 + 371 + 92 + 7 + 7 + 77 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21765831601 + ... + 21765833807.

Almost surely, 2^{48037192777728} is an apocalyptic number.

48037192777728 is a gapful number since it is divisible by the number (48) 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 48037192777728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91014558695424).

48037192777728 is an abundant number, since it is smaller than the sum of its proper divisors (133991924613120).

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

48037192777728 is an equidigital number, since it uses as much as digits as its factorization.

48037192777728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 464679936, while the sum is 72.

The spelling of 48037192777728 in words is "forty-eight trillion, thirty-seven billion, one hundred ninety-two million, seven hundred seventy-seven thousand, seven hundred twenty-eight".