248890643979264 has 2112 divisors, whose sum is σ = 944582352896000. Its totient is φ = 65182537728000.

The previous prime is 248890643979239. The next prime is 248890643979277. The reversal of 248890643979264 is 462979346098842.

248890643979264 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 90 + 6 + 439 + 7 + 92 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

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, 50270779989 + ... + 50270784939.

Almost surely, 2^{248890643979264} is an apocalyptic number.

248890643979264 is a gapful number since it is divisible by the number (24) 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 248890643979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472291176448000).

248890643979264 is an abundant number, since it is smaller than the sum of its proper divisors (695691708916736).

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

248890643979264 is an equidigital number, since it uses as much as digits as its factorization.

248890643979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 9029615616, while the sum is 81.

The spelling of 248890643979264 in words is "two hundred forty-eight trillion, eight hundred ninety billion, six hundred forty-three million, nine hundred seventy-nine thousand, two hundred sixty-four".