248946259607640 has 960 divisors, whose sum is σ = 993868501253760. Its totient is φ = 55706928076800.

The previous prime is 248946259607579. The next prime is 248946259607651. The reversal of 248946259607640 is 46706952649842.

It is a happy number.

248946259607640 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 4 + 6 + 2 + 5 + 9 + 607 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3895779690 + ... + 3895843590.

It is an arithmetic number, because the mean of its divisors is an integer number (1035279688806).

Almost surely, 2^{248946259607640} is an apocalyptic number.

248946259607640 is a gapful number since it is divisible by the number (20) 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 248946259607640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496934250626880).

248946259607640 is an abundant number, since it is smaller than the sum of its proper divisors (744922241646120).

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

248946259607640 is a wasteful number, since it uses less digits than its factorization.

248946259607640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64454 (or 64434 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 248946259607640 in words is "two hundred forty-eight trillion, nine hundred forty-six billion, two hundred fifty-nine million, six hundred seven thousand, six hundred forty".