248878780416 has 624 divisors, whose sum is σ = 870605008000. Its totient is φ = 71108222976.

The previous prime is 248878780387. The next prime is 248878780433. The reversal of 248878780416 is 614087878842.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

248878780416 is a `hidden beast` number, since 2 + 4 + 88 + 78 + 78 + 0 + 416 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35554111485 + ... + 35554111491.

Almost surely, 2^248878780416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248878780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435302504000).

248878780416 is an abundant number, since it is smaller than the sum of its proper divisors (621726227584).

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

248878780416 is an frugal number, since it uses more digits than its factorization.

248878780416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 248878780416 in words is "two hundred forty-eight billion, eight hundred seventy-eight million, seven hundred eighty thousand, four hundred sixteen".