147827335510092 has 192 divisors, whose sum is σ = 411078638960640. Its totient is φ = 40457948428800.

The previous prime is 147827335510081. The next prime is 147827335510117. The reversal of 147827335510092 is 290015533728741.

It is a super-2 number, since 2×147827335510092² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142016584 + ... + 143053712.

It is an arithmetic number, because the mean of its divisors is an integer number (2141034577920).

Almost surely, 2^{147827335510092} is an apocalyptic number.

147827335510092 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 147827335510092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205539319480320).

147827335510092 is an abundant number, since it is smaller than the sum of its proper divisors (263251303450548).

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

147827335510092 is a wasteful number, since it uses less digits than its factorization.

147827335510092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037732 (or 1037730 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 147827335510092 in words is "one hundred forty-seven trillion, eight hundred twenty-seven billion, three hundred thirty-five million, five hundred ten thousand, ninety-two".