248639141970 has 384 divisors, whose sum is σ = 733608057600. Its totient is φ = 59715201024.

The previous prime is 248639141929. The next prime is 248639142001. The reversal of 248639141970 is 79141936842.

248639141970 is a `hidden beast` number, since 2 + 486 + 3 + 91 + 4 + 1 + 9 + 70 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 419289994 + ... + 419290586.

It is an arithmetic number, because the mean of its divisors is an integer number (1910437650).

Almost surely, 2^248639141970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248639141970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366804028800).

248639141970 is an abundant number, since it is smaller than the sum of its proper divisors (484968915630).

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

248639141970 is a wasteful number, since it uses less digits than its factorization.

248639141970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 248639141970 in words is "two hundred forty-eight billion, six hundred thirty-nine million, one hundred forty-one thousand, nine hundred seventy".