248902820628306 has 16 divisors (see below), whose sum is σ = 536098382891904. Its totient is φ = 76585483270224.

The previous prime is 248902820628269. The next prime is 248902820628307. The reversal of 248902820628306 is 603826028209842.

It is a happy number.

It is a super-2 number, since 2×248902820628306² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 248902820628306.

It is not an unprimeable number, because it can be changed into a prime (248902820628307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1595530901386 + ... + 1595530901541.

It is an arithmetic number, because the mean of its divisors is an integer number (33506148930744).

Almost surely, 2^{248902820628306} is an apocalyptic number.

248902820628306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

248902820628306 is an abundant number, since it is smaller than the sum of its proper divisors (287195562263598).

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

248902820628306 is a wasteful number, since it uses less digits than its factorization.

248902820628306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191061802945.

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 248902820628306 in words is "two hundred forty-eight trillion, nine hundred two billion, eight hundred twenty million, six hundred twenty-eight thousand, three hundred six".