48360776084544 has 224 divisors, whose sum is σ = 160134337161216. Its totient is φ = 12513478164480.

The previous prime is 48360776084539. The next prime is 48360776084549. The reversal of 48360776084544 is 44548067706384.

It is an interprime number because it is at equal distance from previous prime (48360776084539) and next prime (48360776084549).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (48360776084549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2330737 + ... + 10107120.

Almost surely, 2^{48360776084544} is an apocalyptic number.

48360776084544 is a gapful number since it is divisible by the number (44) 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 48360776084544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80067168580608).

48360776084544 is an abundant number, since it is smaller than the sum of its proper divisors (111773561076672).

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

48360776084544 is a wasteful number, since it uses less digits than its factorization.

48360776084544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12438153 (or 12438143 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 66.

The spelling of 48360776084544 in words is "forty-eight trillion, three hundred sixty billion, seven hundred seventy-six million, eighty-four thousand, five hundred forty-four".