247285141403328 has 560 divisors, whose sum is σ = 844899591782400. Its totient is φ = 70050597894144.

The previous prime is 247285141403303. The next prime is 247285141403353. The reversal of 247285141403328 is 823304141582742.

247285141403328 is a `hidden beast` number, since 2 + 4 + 7 + 285 + 14 + 14 + 0 + 332 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (247285141403303) and next prime (247285141403353).

It is a super-2 number, since 2×247285141403328² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 7359879073 + ... + 7359912671.

It is an arithmetic number, because the mean of its divisors is an integer number (1508749271040).

Almost surely, 2^{247285141403328} is an apocalyptic number.

247285141403328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247285141403328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422449795891200).

247285141403328 is an abundant number, since it is smaller than the sum of its proper divisors (597614450379072).

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

247285141403328 is a wasteful number, since it uses less digits than its factorization.

247285141403328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35354 (or 35335 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 247285141403328 in words is "two hundred forty-seven trillion, two hundred eighty-five billion, one hundred forty-one million, four hundred three thousand, three hundred twenty-eight".