147834673983360 has 2048 divisors, whose sum is σ = 670909330022400. Its totient is φ = 29931885821952.

The previous prime is 147834673983341. The next prime is 147834673983361. The reversal of 147834673983360 is 63389376438741.

147834673983360 is a `hidden beast` number, since 1 + 4 + 7 + 83 + 46 + 73 + 9 + 83 + 360 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147834673983361) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4247251077 + ... + 4247285883.

It is an arithmetic number, because the mean of its divisors is an integer number (327592446300).

Almost surely, 2^{147834673983360} is an apocalyptic number.

147834673983360 is a gapful number since it is divisible by the number (10) 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 147834673983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335454665011200).

147834673983360 is an abundant number, since it is smaller than the sum of its proper divisors (523074656039040).

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

147834673983360 is a wasteful number, since it uses less digits than its factorization.

147834673983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34965 (or 34947 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 72.

The spelling of 147834673983360 in words is "one hundred forty-seven trillion, eight hundred thirty-four billion, six hundred seventy-three million, nine hundred eighty-three thousand, three hundred sixty".