48961720944 has 320 divisors, whose sum is σ = 151696540800. Its totient is φ = 15065284608.

The previous prime is 48961720937. The next prime is 48961720957. The reversal of 48961720944 is 44902716984.

48961720944 is a `hidden beast` number, since 489 + 6 + 1 + 72 + 0 + 94 + 4 = 666.

It is a super-2 number, since 2×48961720944² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113075352 + ... + 113075784.

It is an arithmetic number, because the mean of its divisors is an integer number (474051690).

Almost surely, 2^48961720944 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 48961720944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75848270400).

48961720944 is an abundant number, since it is smaller than the sum of its proper divisors (102734819856).

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

48961720944 is a wasteful number, since it uses less digits than its factorization.

48961720944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 48961720944 in words is "forty-eight billion, nine hundred sixty-one million, seven hundred twenty thousand, nine hundred forty-four".