48340761480 has 384 divisors, whose sum is σ = 176135731200. Its totient is φ = 11397696000.

The previous prime is 48340761463. The next prime is 48340761481. The reversal of 48340761480 is 8416704384.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48340761481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33314755 + ... + 33316205.

It is an arithmetic number, because the mean of its divisors is an integer number (458686800).

Almost surely, 2^48340761480 is an apocalyptic number.

48340761480 is a gapful number since it is divisible by the number (40) 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 48340761480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88067865600).

48340761480 is an abundant number, since it is smaller than the sum of its proper divisors (127794969720).

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

48340761480 is a wasteful number, since it uses less digits than its factorization.

48340761480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 48340761480 in words is "forty-eight billion, three hundred forty million, seven hundred sixty-one thousand, four hundred eighty".