48595189451328 has 252 divisors, whose sum is σ = 150860306312820. Its totient is φ = 14949173071872.

The previous prime is 48595189451279. The next prime is 48595189451339. The reversal of 48595189451328 is 82315498159584.

48595189451328 is a `hidden beast` number, since 4 + 8 + 5 + 9 + 5 + 1 + 89 + 4 + 513 + 28 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1333304377344 + 47261885073984 = 1154688^2 + 6874728^2 .

It is a super-2 number, since 2×48595189451328² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 477810850 + ... + 477912542.

Almost surely, 2^{48595189451328} is an apocalyptic number.

48595189451328 is a gapful number since it is divisible by the number (48) 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 48595189451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75430153156410).

48595189451328 is an abundant number, since it is smaller than the sum of its proper divisors (102265116861492).

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

48595189451328 is a wasteful number, since it uses less digits than its factorization.

48595189451328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106646 (or 106620 counting only the distinct ones).

The product of its digits is 497664000, while the sum is 72.

The spelling of 48595189451328 in words is "forty-eight trillion, five hundred ninety-five billion, one hundred eighty-nine million, four hundred fifty-one thousand, three hundred twenty-eight".