147349868256 has 240 divisors, whose sum is σ = 456769550160. Its totient is φ = 46469376000.

The previous prime is 147349868251. The next prime is 147349868261. The reversal of 147349868256 is 652868943741.

147349868256 is a `hidden beast` number, since 1 + 473 + 4 + 9 + 86 + 82 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (147349868251) and next prime (147349868261).

It is a junction number, because it is equal to n+sod(n) for n = 147349868193 and 147349868202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147349868251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49098756 + ... + 49101756.

It is an arithmetic number, because the mean of its divisors is an integer number (1903206459).

Almost surely, 2^147349868256 is an apocalyptic number.

147349868256 is a gapful number since it is divisible by the number (16) 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 147349868256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228384775080).

147349868256 is an abundant number, since it is smaller than the sum of its proper divisors (309419681904).

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

147349868256 is a wasteful number, since it uses less digits than its factorization.

147349868256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4022 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 147349868256 in words is "one hundred forty-seven billion, three hundred forty-nine million, eight hundred sixty-eight thousand, two hundred fifty-six".