248951150712 has 192 divisors, whose sum is σ = 779178216960. Its totient is φ = 70968038400.

The previous prime is 248951150681. The next prime is 248951150713. The reversal of 248951150712 is 217051159842.

248951150712 is a `hidden beast` number, since 2 + 4 + 89 + 51 + 1 + 507 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248951150713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45007387 + ... + 45012917.

It is an arithmetic number, because the mean of its divisors is an integer number (4058219880).

Almost surely, 2^248951150712 is an apocalyptic number.

248951150712 is a gapful number since it is divisible by the number (22) 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 248951150712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389589108480).

248951150712 is an abundant number, since it is smaller than the sum of its proper divisors (530227066248).

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

248951150712 is a wasteful number, since it uses less digits than its factorization.

248951150712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8914 (or 8907 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 248951150712 in words is "two hundred forty-eight billion, nine hundred fifty-one million, one hundred fifty thousand, seven hundred twelve".