247353128878464 has 144 divisors (see below), whose sum is σ = 827994091516020. Its totient is φ = 70672322520576.

The previous prime is 247353128878459. The next prime is 247353128878483. The reversal of 247353128878464 is 464878821353742.

247353128878464 is a `hidden beast` number, since 2 + 4 + 7 + 3 + 5 + 3 + 12 + 88 + 78 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×247353128878464² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 247353128878392 and 247353128878401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2190925774 + ... + 2191038669.

Almost surely, 2^{247353128878464} is an apocalyptic number.

247353128878464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

247353128878464 is an abundant number, since it is smaller than the sum of its proper divisors (580640962637556).

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

247353128878464 is a wasteful number, since it uses less digits than its factorization.

247353128878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381964477 (or 4381964455 counting only the distinct ones).

The product of its digits is 1734082560, while the sum is 72.

The spelling of 247353128878464 in words is "two hundred forty-seven trillion, three hundred fifty-three billion, one hundred twenty-eight million, eight hundred seventy-eight thousand, four hundred sixty-four".