48407914908672 has 704 divisors, whose sum is σ = 145642916256768. Its totient is φ = 14169931776000.

The previous prime is 48407914908559. The next prime is 48407914908709. The reversal of 48407914908672 is 27680941970484.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×48407914908672² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48407914908597 and 48407914908606.

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, 51662662188 + ... + 51662663124.

Almost surely, 2^{48407914908672} 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 48407914908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72821458128384).

48407914908672 is an abundant number, since it is smaller than the sum of its proper divisors (97235001348096).

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

48407914908672 is a wasteful number, since it uses less digits than its factorization.

48407914908672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 69.

The spelling of 48407914908672 in words is "forty-eight trillion, four hundred seven billion, nine hundred fourteen million, nine hundred eight thousand, six hundred seventy-two".