326062081152 has 448 divisors, whose sum is σ = 1024511745600. Its totient is φ = 103119464448.

The previous prime is 326062081141. The next prime is 326062081153. The reversal of 326062081152 is 251180260623.

326062081152 is a `hidden beast` number, since 3 + 26 + 0 + 620 + 8 + 1 + 1 + 5 + 2 = 666.

It is a super-3 number, since 3×326062081152³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (326062081153) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 298317918 + ... + 298319010.

It is an arithmetic number, because the mean of its divisors is an integer number (2286856575).

Almost surely, 2^326062081152 is an apocalyptic number.

326062081152 is a gapful number since it is divisible by the number (32) 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 326062081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512255872800).

326062081152 is an abundant number, since it is smaller than the sum of its proper divisors (698449664448).

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

326062081152 is a wasteful number, since it uses less digits than its factorization.

326062081152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 326062081152 in words is "three hundred twenty-six billion, sixty-two million, eighty-one thousand, one hundred fifty-two".