147752436379716 has 405 divisors, whose sum is σ = 452311904273229. Its totient is φ = 42108646855968.

The previous prime is 147752436379679. The next prime is 147752436379733. The reversal of 147752436379716 is 617973634257741.

The square root of 147752436379716 is 12155346.

It is a perfect power (a square), and thus also a powerful number.

147752436379716 is a `hidden beast` number, since 1 + 4 + 7 + 7 + 5 + 243 + 6 + 379 + 7 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99019415722500 + 48733020657216 = 9950850^2 + 6980904^2 .

It is a super-2 number, since 2×147752436379716² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 372172383630 + ... + 372172384026.

Almost surely, 2^{147752436379716} is an apocalyptic number.

147752436379716 is the 12155346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147752436379716

147752436379716 is an abundant number, since it is smaller than the sum of its proper divisors (304559467893513).

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

147752436379716 is an frugal number, since it uses more digits than its factorization.

147752436379716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 409 counting only the distinct ones).

The product of its digits is 1120210560, while the sum is 72.

The spelling of 147752436379716 in words is "one hundred forty-seven trillion, seven hundred fifty-two billion, four hundred thirty-six million, three hundred seventy-nine thousand, seven hundred sixteen".