361299081000 has 1024 divisors, whose sum is σ = 1387493452800. Its totient is φ = 77070336000.

The previous prime is 361299080959. The next prime is 361299081053. The reversal of 361299081000 is 180992163.

It is a super-2 number, since 2×361299081000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 361299081000.

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 255 ways as a sum of consecutive naturals, for example, 1405832872 + ... + 1405833128.

It is an arithmetic number, because the mean of its divisors is an integer number (1354974075).

Almost surely, 2^361299081000 is an apocalyptic number.

361299081000 is a gapful number since it is divisible by the number (30) 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 361299081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693746726400).

361299081000 is an abundant number, since it is smaller than the sum of its proper divisors (1026194371800).

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

361299081000 is a wasteful number, since it uses less digits than its factorization.

361299081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 361299081000 in words is "three hundred sixty-one billion, two hundred ninety-nine million, eighty-one thousand".