147666937102848 has 240 divisors, whose sum is σ = 442108621674720. Its totient is φ = 49205883027456.

The previous prime is 147666937102837. The next prime is 147666937102897. The reversal of 147666937102848 is 848201739666741.

It is a super-2 number, since 2×147666937102848² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375415336 + ... + 375808472.

It is an arithmetic number, because the mean of its divisors is an integer number (1842119256978).

Almost surely, 2^{147666937102848} is an apocalyptic number.

147666937102848 is a gapful number since it is divisible by the number (18) 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 147666937102848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221054310837360).

147666937102848 is an abundant number, since it is smaller than the sum of its proper divisors (294441684571872).

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

147666937102848 is an frugal number, since it uses more digits than its factorization.

147666937102848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396189 (or 396161 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 147666937102848 in words is "one hundred forty-seven trillion, six hundred sixty-six billion, nine hundred thirty-seven million, one hundred two thousand, eight hundred forty-eight".