248195543040 has 416 divisors, whose sum is σ = 910891622400. Its totient is φ = 64046039040.

The previous prime is 248195543003. The next prime is 248195543051. The reversal of 248195543040 is 40345591842.

248195543040 is a `hidden beast` number, since 2 + 48 + 19 + 554 + 3 + 0 + 40 = 666.

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 31 ways as a sum of consecutive naturals, for example, 17134521 + ... + 17148999.

Almost surely, 2^248195543040 is an apocalyptic number.

248195543040 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 248195543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455445811200).

248195543040 is an abundant number, since it is smaller than the sum of its proper divisors (662696079360).

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

248195543040 is a wasteful number, since it uses less digits than its factorization.

248195543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14548 (or 14520 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 248195543040 in words is "two hundred forty-eight billion, one hundred ninety-five million, five hundred forty-three thousand, forty".