248653821465 has 384 divisors, whose sum is σ = 566931456000. Its totient is φ = 104110997760.

The previous prime is 248653821457. The next prime is 248653821497. The reversal of 248653821465 is 564128356842.

248653821465 is a `hidden beast` number, since 2 + 4 + 86 + 538 + 21 + 4 + 6 + 5 = 666.

It is not a de Polignac number, because 248653821465 - 2³ = 248653821457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 245462299 + ... + 245463311.

It is an arithmetic number, because the mean of its divisors is an integer number (1476384000).

Almost surely, 2^248653821465 is an apocalyptic number.

It is an amenable number.

248653821465 is an abundant number, since it is smaller than the sum of its proper divisors (318277634535).

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

248653821465 is a wasteful number, since it uses less digits than its factorization.

248653821465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1078 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 248653821465 in words is "two hundred forty-eight billion, six hundred fifty-three million, eight hundred twenty-one thousand, four hundred sixty-five".