182347807606272 has 1200 divisors, whose sum is σ = 700379864132256. Its totient is φ = 46207505203200.

The previous prime is 182347807606267. The next prime is 182347807606291. The reversal of 182347807606272 is 272606708743281.

182347807606272 is a `hidden beast` number, since 1 + 8 + 23 + 478 + 0 + 76 + 0 + 6 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1440134838 + ... + 1440261450.

Almost surely, 2^{182347807606272} is an apocalyptic number.

182347807606272 is a gapful number since it is divisible by the number (12) 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 182347807606272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350189932066128).

182347807606272 is an abundant number, since it is smaller than the sum of its proper divisors (518032056525984).

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

182347807606272 is a wasteful number, since it uses less digits than its factorization.

182347807606272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126713 (or 126677 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 182347807606272 in words is "one hundred eighty-two trillion, three hundred forty-seven billion, eight hundred seven million, six hundred six thousand, two hundred seventy-two".