248963938704 has 60 divisors (see below), whose sum is σ = 750349654236. Its totient is φ = 76604288256.

The previous prime is 248963938697. The next prime is 248963938709. The reversal of 248963938704 is 407839369842.

248963938704 is a `hidden beast` number, since 2 + 489 + 63 + 93 + 8 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133920866304 + 115043072400 = 365952^2 + 339180^2 .

It is not an unprimeable number, because it can be changed into a prime (248963938709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66494907 + ... + 66498650.

Almost surely, 2^248963938704 is an apocalyptic number.

248963938704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248963938704 is an abundant number, since it is smaller than the sum of its proper divisors (501385715532).

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

248963938704 is a wasteful number, since it uses less digits than its factorization.

248963938704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132993584 (or 132993575 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 248963938704 in words is "two hundred forty-eight billion, nine hundred sixty-three million, nine hundred thirty-eight thousand, seven hundred four".