248778365040 has 280 divisors, whose sum is σ = 912864943440. Its totient is φ = 62848991232.

The previous prime is 248778365027. The next prime is 248778365063. The reversal of 248778365040 is 40563877842.

248778365040 is a `hidden beast` number, since 2 + 487 + 78 + 3 + 6 + 50 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 995824 + ... + 1220336.

Almost surely, 2^248778365040 is an apocalyptic number.

248778365040 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 248778365040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456432471720).

248778365040 is an abundant number, since it is smaller than the sum of its proper divisors (664086578400).

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

248778365040 is a wasteful number, since it uses less digits than its factorization.

248778365040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224563 (or 224542 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 248778365040 in words is "two hundred forty-eight billion, seven hundred seventy-eight million, three hundred sixty-five thousand, forty".