48600884610432 has 1296 divisors, whose sum is σ = 186948514820340. Its totient is φ = 12073856256000.

The previous prime is 48600884610427. The next prime is 48600884610437. The reversal of 48600884610432 is 23401648800684.

It is a happy number.

48600884610432 is a `hidden beast` number, since 4 + 8 + 60 + 0 + 88 + 461 + 0 + 43 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (48600884610427) and next prime (48600884610437).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48600884610437) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 3613173307 + ... + 3613186757.

Almost surely, 2^{48600884610432} is an apocalyptic number.

48600884610432 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 48600884610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93474257410170).

48600884610432 is an abundant number, since it is smaller than the sum of its proper divisors (138347630209908).

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

48600884610432 is a wasteful number, since it uses less digits than its factorization.

48600884610432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13553 (or 13497 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 48600884610432 in words is "forty-eight trillion, six hundred billion, eight hundred eighty-four million, six hundred ten thousand, four hundred thirty-two".