248148426240 has 1440 divisors, whose sum is σ = 1048355275968. Its totient is φ = 53850931200.

The previous prime is 248148426193. The next prime is 248148426277. The reversal of 248148426240 is 42624841842.

248148426240 is a `hidden beast` number, since 2 + 4 + 8 + 14 + 8 + 4 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 1485918637 + ... + 1485918803.

Almost surely, 2^248148426240 is an apocalyptic number.

248148426240 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 248148426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524177637984).

248148426240 is an abundant number, since it is smaller than the sum of its proper divisors (800206849728).

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

248148426240 is a wasteful number, since it uses less digits than its factorization.

248148426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 248148426240 in words is "two hundred forty-eight billion, one hundred forty-eight million, four hundred twenty-six thousand, two hundred forty".