248938152395076 has 63 divisors (see below), whose sum is σ = 653166091442893. Its totient is φ = 82979100131760.

The previous prime is 248938152395063. The next prime is 248938152395113. The reversal of 248938152395076 is 670593251839842.

The square root of 248938152395076 is 15777774.

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

248938152395076 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 3 + 8 + 1 + 523 + 95 + 0 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13910856035076 + 235027296360000 = 3729726^2 + 15330600^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 248938152394995 and 248938152395013.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 851853706 + ... + 852145886.

It is a 2-persistent number, because it is pandigital, and so is 2⋅248938152395076 = 497876304790152, but 3⋅248938152395076 = 746814457185228 is not.

Almost surely, 2^{248938152395076} is an apocalyptic number.

248938152395076 is the 15777774-th square number.

It is an amenable number.

248938152395076 is an abundant number, since it is smaller than the sum of its proper divisors (404227939047817).

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

248938152395076 is an frugal number, since it uses more digits than its factorization.

248938152395076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584384 (or 292186 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 248938152395076 in words is "two hundred forty-eight trillion, nine hundred thirty-eight billion, one hundred fifty-two million, three hundred ninety-five thousand, seventy-six".