48070939964544 has 640 divisors, whose sum is σ = 164399764636800. Its totient is φ = 13715179905024.

The previous prime is 48070939964527. The next prime is 48070939964549. The reversal of 48070939964544 is 44546993907084.

It is a happy number.

48070939964544 is a `hidden beast` number, since 4 + 8 + 0 + 70 + 9 + 3 + 9 + 9 + 6 + 4 + 544 = 666.

It is a super-3 number, since 3×48070939964544³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (48070939964549) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16524900562 + ... + 16524903470.

It is an arithmetic number, because the mean of its divisors is an integer number (256874632245).

Almost surely, 2^{48070939964544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48070939964544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82199882318400).

48070939964544 is an abundant number, since it is smaller than the sum of its proper divisors (116328824672256).

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

48070939964544 is an frugal number, since it uses more digits than its factorization.

48070939964544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 48070939964544 in words is "forty-eight trillion, seventy billion, nine hundred thirty-nine million, nine hundred sixty-four thousand, five hundred forty-four".