248896953918684 has 96 divisors (see below), whose sum is σ = 653912212800000. Its totient is φ = 81859475017728.

The previous prime is 248896953918649. The next prime is 248896953918703. The reversal of 248896953918684 is 486819359698842.

248896953918684 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 9 + 6 + 9 + 539 + 1 + 8 + 68 + 4 = 666.

248896953918684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×248896953918684⁴ (a number of 59 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248896953918594 and 248896953918603.

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, 11160184 + ... + 24946815.

It is an arithmetic number, because the mean of its divisors is an integer number (6811585550000).

Almost surely, 2^{248896953918684} is an apocalyptic number.

It is an amenable number.

248896953918684 is an abundant number, since it is smaller than the sum of its proper divisors (405015258881316).

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

248896953918684 is a wasteful number, since it uses less digits than its factorization.

248896953918684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36107864 (or 36107856 counting only the distinct ones).

The product of its digits is 51597803520, while the sum is 90.

The spelling of 248896953918684 in words is "two hundred forty-eight trillion, eight hundred ninety-six billion, nine hundred fifty-three million, nine hundred eighteen thousand, six hundred eighty-four".