326049061105800 has 288 divisors, whose sum is σ = 1120971134092680. Its totient is φ = 84906302976000.

The previous prime is 326049061105769. The next prime is 326049061105837. The reversal of 326049061105800 is 8501160940623.

326049061105800 is a `hidden beast` number, since 3 + 2 + 6 + 0 + 4 + 9 + 0 + 61 + 1 + 0 + 580 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 101554756643844 + 224494304461956 = 10077438^2 + 14983134^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 987502 + ... + 25555298.

Almost surely, 2^{326049061105800} is an apocalyptic number.

326049061105800 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 326049061105800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560485567046340).

326049061105800 is an abundant number, since it is smaller than the sum of its proper divisors (794922072986880).

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

326049061105800 is a wasteful number, since it uses less digits than its factorization.

326049061105800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24567993 (or 24567981 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 326049061105800 in words is "three hundred twenty-six trillion, forty-nine billion, sixty-one million, one hundred five thousand, eight hundred".