801288445248 has 224 divisors, whose sum is σ = 2388209600000. Its totient is φ = 263411066880.

The previous prime is 801288445231. The next prime is 801288445337. The reversal of 801288445248 is 842544882108.

It is a happy number.

801288445248 is a `hidden beast` number, since 80 + 1 + 2 + 88 + 445 + 2 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 801288445194 and 801288445203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139375878 + ... + 139381626.

It is an arithmetic number, because the mean of its divisors is an integer number (10661650000).

Almost surely, 2^801288445248 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 801288445248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194104800000).

801288445248 is an abundant number, since it is smaller than the sum of its proper divisors (1586921154752).

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

801288445248 is a wasteful number, since it uses less digits than its factorization.

801288445248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 5242880, while the sum is 54.

The spelling of 801288445248 in words is "eight hundred one billion, two hundred eighty-eight million, four hundred forty-five thousand, two hundred forty-eight".