6361106224500 has 288 divisors, whose sum is σ = 20807268562080. Its totient is φ = 1634005094400.

The previous prime is 6361106224457. The next prime is 6361106224541. The reversal of 6361106224500 is 54226011636.

6361106224500 is a `hidden beast` number, since 6 + 3 + 61 + 10 + 62 + 24 + 500 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5251311397476 + 1109794827024 = 2291574^2 + 1053468^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56450214 + ... + 56562786.

It is an arithmetic number, because the mean of its divisors is an integer number (72247460285).

Almost surely, 2^{6361106224500} is an apocalyptic number.

6361106224500 is a gapful number since it is divisible by the number (60) 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 6361106224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10403634281040).

6361106224500 is an abundant number, since it is smaller than the sum of its proper divisors (14446162337580).

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

6361106224500 is a wasteful number, since it uses less digits than its factorization.

6361106224500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113060 (or 113045 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 6361106224500 in words is "six trillion, three hundred sixty-one billion, one hundred six million, two hundred twenty-four thousand, five hundred".