248457132000 has 1920 divisors, whose sum is σ = 1189111891968. Its totient is φ = 49268736000.

The previous prime is 248457131947. The next prime is 248457132013. The reversal of 248457132000 is 231754842.

It is a happy number.

248457132000 is a `hidden beast` number, since 2 + 4 + 84 + 571 + 3 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 573803784 + ... + 573804216.

Almost surely, 2^248457132000 is an apocalyptic number.

248457132000 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 248457132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594555945984).

248457132000 is an abundant number, since it is smaller than the sum of its proper divisors (940654759968).

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

248457132000 is a wasteful number, since it uses less digits than its factorization.

248457132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 248457132000 its reverse (231754842), we get a palindrome (248688886842).

The spelling of 248457132000 in words is "two hundred forty-eight billion, four hundred fifty-seven million, one hundred thirty-two thousand".