248214744346701 has 16 divisors (see below), whose sum is σ = 362853897638400. Its totient is φ = 149677232767920.

The previous prime is 248214744346669. The next prime is 248214744346703. The reversal of 248214744346701 is 107643447412842.

It is not a de Polignac number, because 248214744346701 - 2⁵ = 248214744346669 is a prime.

It is a super-2 number, since 2×248214744346701² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248214744346703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18898633935 + ... + 18898647068.

It is an arithmetic number, because the mean of its divisors is an integer number (22678368602400).

Almost surely, 2^{248214744346701} is an apocalyptic number.

It is an amenable number.

248214744346701 is a deficient number, since it is larger than the sum of its proper divisors (114639153291699).

248214744346701 is a wasteful number, since it uses less digits than its factorization.

248214744346701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37797281216.

The product of its (nonzero) digits is 28901376, while the sum is 57.

The spelling of 248214744346701 in words is "two hundred forty-eight trillion, two hundred fourteen billion, seven hundred forty-four million, three hundred forty-six thousand, seven hundred one".