48343000034384 has 120 divisors (see below), whose sum is σ = 104504600444160. Its totient is φ = 21644374752000.

The previous prime is 48343000034377. The next prime is 48343000034387.

48343000034384 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48343000034387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64014029 + ... + 64764819.

It is an arithmetic number, because the mean of its divisors is an integer number (870871670368).

Almost surely, 2^{48343000034384} is an apocalyptic number.

48343000034384 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 48343000034384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52252300222080).

48343000034384 is an abundant number, since it is smaller than the sum of its proper divisors (56161600409776).

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

48343000034384 is a wasteful number, since it uses less digits than its factorization.

48343000034384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751321 (or 751304 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

It can be divided in two parts, 483430000 and 34384, that added together give a palindrome (483464384).

The spelling of 48343000034384 in words is "forty-eight trillion, three hundred forty-three billion, thirty-four thousand, three hundred eighty-four".