248951439360 has 1152 divisors, whose sum is σ = 995315171760. Its totient is φ = 59624128512.

The previous prime is 248951439343. The next prime is 248951439391. The reversal of 248951439360 is 63934159842.

248951439360 is a `hidden beast` number, since 2 + 489 + 5 + 14 + 3 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 248951439297 and 248951439306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6728417262 + ... + 6728417298.

Almost surely, 2^248951439360 is an apocalyptic number.

248951439360 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 248951439360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497657585880).

248951439360 is an abundant number, since it is smaller than the sum of its proper divisors (746363732400).

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

248951439360 is an frugal number, since it uses more digits than its factorization.

248951439360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 248951439360 in words is "two hundred forty-eight billion, nine hundred fifty-one million, four hundred thirty-nine thousand, three hundred sixty".