249690096100 has 81 divisors (see below), whose sum is σ = 548112325033. Its totient is φ = 98730748960.

The previous prime is 249690096079. The next prime is 249690096101. The reversal of 249690096100 is 1690096942.

The square root of 249690096100 is 499690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 89888434596 + 159801661504 = 299814^2 + 399752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249690096101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 534668067 + ... + 534668533.

Almost surely, 2^249690096100 is an apocalyptic number.

249690096100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

249690096100 is the 499690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249690096100

249690096100 is an abundant number, since it is smaller than the sum of its proper divisors (298422228933).

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

249690096100 is an equidigital number, since it uses as much as digits as its factorization.

249690096100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The spelling of 249690096100 in words is "two hundred forty-nine billion, six hundred ninety million, ninety-six thousand, one hundred".