48808619753472 has 1200 divisors, whose sum is σ = 160900114858560. Its totient is φ = 14736332685312.

The previous prime is 48808619753447. The next prime is 48808619753477. The reversal of 48808619753472 is 27435791680884.

It is a happy number.

48808619753472 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 8 + 6 + 19 + 7 + 534 + 72 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48808619753472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48808619753477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 158985731943 + ... + 158985732249.

It is a 1-persistent number, because it is pandigital, but 2⋅48808619753472 = 97617239506944 is not.

Almost surely, 2^{48808619753472} 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 48808619753472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80450057429280).

48808619753472 is an abundant number, since it is smaller than the sum of its proper divisors (112091495105088).

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

48808619753472 is an frugal number, since it uses more digits than its factorization.

48808619753472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 48808619753472 in words is "forty-eight trillion, eight hundred eight billion, six hundred nineteen million, seven hundred fifty-three thousand, four hundred seventy-two".