48177932200256 has 112 divisors (see below), whose sum is σ = 97226891987280. Its totient is φ = 23683391815680.

The previous prime is 48177932200247. The next prime is 48177932200373. The reversal of 48177932200256 is 65200223977184.

It can be written as a sum of positive squares in 8 ways, for example, as 150481926400 + 48027450273856 = 387920^2 + 6930184^2 .

It is a super-2 number, since 2×48177932200256² (a number of 28 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2478151496 + ... + 2478170936.

It is a 1-persistent number, because it is pandigital, but 2⋅48177932200256 = 96355864400512 is not.

Almost surely, 2^{48177932200256} 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 48177932200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48613445993640).

48177932200256 is an abundant number, since it is smaller than the sum of its proper divisors (49048959787024).

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

48177932200256 is a wasteful number, since it uses less digits than its factorization.

48177932200256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22292 (or 22282 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 48177932200256 in words is "forty-eight trillion, one hundred seventy-seven billion, nine hundred thirty-two million, two hundred thousand, two hundred fifty-six".