248411140378200 has 144 divisors (see below), whose sum is σ = 865145465609880. Its totient is φ = 66242970754560.

The previous prime is 248411140378153. The next prime is 248411140378211. The reversal of 248411140378200 is 2873041114842.

248411140378200 is a `hidden beast` number, since 2 + 4 + 8 + 411 + 140 + 3 + 78 + 20 + 0 = 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 35 ways as a sum of consecutive naturals, for example, 2555621569 + ... + 2555718768.

Almost surely, 2^{248411140378200} is an apocalyptic number.

248411140378200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248411140378200 is an abundant number, since it is smaller than the sum of its proper divisors (616734325231680).

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

248411140378200 is a wasteful number, since it uses less digits than its factorization.

248411140378200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111340368 (or 5111340347 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 248411140378200 in words is "two hundred forty-eight trillion, four hundred eleven billion, one hundred forty million, three hundred seventy-eight thousand, two hundred".