249854841090 has 48 divisors (see below), whose sum is σ = 649657502208. Its totient is φ = 66624376608.

The previous prime is 249854841077. The next prime is 249854841097. The reversal of 249854841090 is 90148458942.

It is a happy number.

249854841090 is a `hidden beast` number, since 2 + 4 + 9 + 8 + 548 + 4 + 1 + 0 + 90 = 666.

It is a super-2 number, since 2×249854841090² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (249854841097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1897119 + ... + 2024541.

It is an arithmetic number, because the mean of its divisors is an integer number (13534531296).

Almost surely, 2^249854841090 is an apocalyptic number.

249854841090 is an abundant number, since it is smaller than the sum of its proper divisors (399802661118).

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

249854841090 is a wasteful number, since it uses less digits than its factorization.

249854841090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149223 (or 149220 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 249854841090 in words is "two hundred forty-nine billion, eight hundred fifty-four million, eight hundred forty-one thousand, ninety".