48644498385810 has 192 divisors, whose sum is σ = 129493835658720. Its totient is φ = 12665783255040.

The previous prime is 48644498385761. The next prime is 48644498385811. The reversal of 48644498385810 is 1858389444684.

48644498385810 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 4 + 4 + 9 + 8 + 38 + 581 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 20661361157529 + 27983137228281 = 4545477^2 + 5289909^2 .

It is a super-2 number, since 2×48644498385810² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (48644498385811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 409016914 + ... + 409135826.

Almost surely, 2^{48644498385810} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48644498385810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64746917829360).

48644498385810 is an abundant number, since it is smaller than the sum of its proper divisors (80849337272910).

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

48644498385810 is a wasteful number, since it uses less digits than its factorization.

48644498385810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119533 (or 119530 counting only the distinct ones).

The product of its (nonzero) digits is 849346560, while the sum is 72.

The spelling of 48644498385810 in words is "forty-eight trillion, six hundred forty-four billion, four hundred ninety-eight million, three hundred eighty-five thousand, eight hundred ten".