248702687401 has 27 divisors (see below), whose sum is σ = 291611630583. Its totient is φ = 211489120080.

The previous prime is 248702687381. The next prime is 248702687411. The reversal of 248702687401 is 104786207842.

The square root of 248702687401 is 498701.

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., 135184905625 + 113517781776 = 367675^2 + 336924^2 .

It is a de Polignac number, because none of the positive numbers 2^k-248702687401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (248702687411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 666763051 + ... + 666763423.

Almost surely, 2^248702687401 is an apocalyptic number.

248702687401 is the 498701-st square number.

248702687401 is the 249351-st centered octagonal number.

It is an amenable number.

248702687401 is a deficient number, since it is larger than the sum of its proper divisors (42908943182).

248702687401 is an frugal number, since it uses more digits than its factorization.

248702687401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 49.

Multiplying 248702687401 by its sum of digits (49), we get a square (12186431682649 = 3490907²).

248702687401 divided by its sum of digits (49) gives a square (5075565049 = 71243²).

The spelling of 248702687401 in words is "two hundred forty-eight billion, seven hundred two million, six hundred eighty-seven thousand, four hundred one".