248436609120 has 216 divisors, whose sum is σ = 986204890944. Its totient is φ = 56785494528.

The previous prime is 248436609101. The next prime is 248436609151. The reversal of 248436609120 is 21906634842.

248436609120 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 36 + 609 + 1 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 1689904 + ... + 1831023.

It is an arithmetic number, because the mean of its divisors is an integer number (4565763384).

Almost surely, 2^248436609120 is an apocalyptic number.

248436609120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248436609120 is an abundant number, since it is smaller than the sum of its proper divisors (737768281824).

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

248436609120 is a wasteful number, since it uses less digits than its factorization.

248436609120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520962 (or 3520944 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 248436609120 in words is "two hundred forty-eight billion, four hundred thirty-six million, six hundred nine thousand, one hundred twenty".