326620751414100 has 1152 divisors, whose sum is σ = 1242975964446720. Its totient is φ = 64877137920000.

The previous prime is 326620751414063. The next prime is 326620751414107. The reversal of 326620751414100 is 1414157026623.

It is a super-2 number, since 2×326620751414100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326620751414107) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 3089991250 + ... + 3090096950.

It is an arithmetic number, because the mean of its divisors is an integer number (1078972191360).

Almost surely, 2^{326620751414100} is an apocalyptic number.

326620751414100 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 326620751414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621487982223360).

326620751414100 is an abundant number, since it is smaller than the sum of its proper divisors (916355213032620).

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

326620751414100 is a wasteful number, since it uses less digits than its factorization.

326620751414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106001 (or 105994 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 326620751414100 in words is "three hundred twenty-six trillion, six hundred twenty billion, seven hundred fifty-one million, four hundred fourteen thousand, one hundred".