249289197696 has 384 divisors, whose sum is σ = 927499023360. Its totient is φ = 64749818880.

The previous prime is 249289197679. The next prime is 249289197727. The reversal of 249289197696 is 696791982942.

249289197696 is a `hidden beast` number, since 249 + 289 + 19 + 7 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2342965 + ... + 2447051.

It is an arithmetic number, because the mean of its divisors is an integer number (2415362040).

Almost surely, 2^249289197696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249289197696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463749511680).

249289197696 is an abundant number, since it is smaller than the sum of its proper divisors (678209825664).

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

249289197696 is a wasteful number, since it uses less digits than its factorization.

249289197696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104134 (or 104110 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

It can be divided in two parts, 249289 and 197696, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 249289197696 in words is "two hundred forty-nine billion, two hundred eighty-nine million, one hundred ninety-seven thousand, six hundred ninety-six".