71025412248 has 512 divisors, whose sum is σ = 248500224000. Its totient is φ = 18342650880.

The previous prime is 71025412217. The next prime is 71025412279. The reversal of 71025412248 is 84221452017.

71025412248 is a `hidden beast` number, since 7 + 102 + 541 + 2 + 2 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (71025412217) and next prime (71025412279).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55358215 + ... + 55359497.

It is an arithmetic number, because the mean of its divisors is an integer number (485352000).

Almost surely, 2^71025412248 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 71025412248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124250112000).

71025412248 is an abundant number, since it is smaller than the sum of its proper divisors (177474811752).

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

71025412248 is a wasteful number, since it uses less digits than its factorization.

71025412248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 71025412248 in words is "seventy-one billion, twenty-five million, four hundred twelve thousand, two hundred forty-eight".