172771465793536 has 91 divisors (see below), whose sum is σ = 351457660554211. Its totient is φ = 84921567932416.

The previous prime is 172771465793519. The next prime is 172771465793579. The reversal of 172771465793536 is 635397564177271.

The square root of 172771465793536 is 13144256.

The cubic root of 172771465793536 is 55696.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (1400263200) is a multiple of the sum of its prime factors (378).

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 6 ways as a sum of consecutive naturals, for example, 2928329928675 + ... + 2928329928733.

Almost surely, 2^{172771465793536} is an apocalyptic number.

172771465793536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

172771465793536 is the 13144256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172771465793536

172771465793536 is an abundant number, since it is smaller than the sum of its proper divisors (178686194760675).

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

172771465793536 is an frugal number, since it uses more digits than its factorization.

172771465793536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 61 counting only the distinct ones).

The product of its digits is 1400263200, while the sum is 73.

The spelling of 172771465793536 in words is "one hundred seventy-two trillion, seven hundred seventy-one billion, four hundred sixty-five million, seven hundred ninety-three thousand, five hundred thirty-six".