248903919000 has 768 divisors, whose sum is σ = 985923394560. Its totient is φ = 55964160000.

The previous prime is 248903918971. The next prime is 248903919031. The reversal of 248903919000 is 919309842.

It is a super-2 number, since 2×248903919000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119491959 + ... + 119494041.

It is an arithmetic number, because the mean of its divisors is an integer number (1283754420).

Almost surely, 2^248903919000 is an apocalyptic number.

248903919000 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 248903919000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492961697280).

248903919000 is an abundant number, since it is smaller than the sum of its proper divisors (737019475560).

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

248903919000 is a wasteful number, since it uses less digits than its factorization.

248903919000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 248903919000 in words is "two hundred forty-eight billion, nine hundred three million, nine hundred nineteen thousand".