248686778340 has 2304 divisors, whose sum is σ = 1159841120256. Its totient is φ = 42998169600.

The previous prime is 248686778317. The next prime is 248686778363. The reversal of 248686778340 is 43877686842.

248686778340 is a `hidden beast` number, since 2 + 486 + 8 + 6 + 77 + 83 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (248686778317) and next prime (248686778363).

It is a super-2 number, since 2×248686778340² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2563781172 + ... + 2563781268.

It is an arithmetic number, because the mean of its divisors is an integer number (503403264).

Almost surely, 2^248686778340 is an apocalyptic number.

248686778340 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 248686778340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579920560128).

248686778340 is an abundant number, since it is smaller than the sum of its proper divisors (911154341916).

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

248686778340 is a wasteful number, since it uses less digits than its factorization.

248686778340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 248686778340 in words is "two hundred forty-eight billion, six hundred eighty-six million, seven hundred seventy-eight thousand, three hundred forty".