248146890147 has 32 divisors (see below), whose sum is σ = 419192343360. Its totient is φ = 143723082240.

The previous prime is 248146890139. The next prime is 248146890151. The reversal of 248146890147 is 741098641842.

248146890147 is a `hidden beast` number, since 2 + 4 + 81 + 468 + 90 + 14 + 7 = 666.

It is not a de Polignac number, because 248146890147 - 2³ = 248146890139 is a prime.

It is a super-3 number, since 3×248146890147³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248146890093 and 248146890102.

It is not an unprimeable number, because it can be changed into a prime (248146890127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20787304 + ... + 20799237.

It is an arithmetic number, because the mean of its divisors is an integer number (13099760730).

Almost surely, 2^248146890147 is an apocalyptic number.

248146890147 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

248146890147 is a deficient number, since it is larger than the sum of its proper divisors (171045453213).

248146890147 is a wasteful number, since it uses less digits than its factorization.

248146890147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41586580 (or 41586574 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 248146890147 in words is "two hundred forty-eight billion, one hundred forty-six million, eight hundred ninety thousand, one hundred forty-seven".