2385198047232 has 2688 divisors, whose sum is σ = 10291564684800. Its totient is φ = 541776936960.

The previous prime is 2385198047201. The next prime is 2385198047249. The reversal of 2385198047232 is 2327408915832.

2385198047232 is a `hidden beast` number, since 2 + 3 + 8 + 51 + 98 + 0 + 472 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×2385198047232² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125536739319 + ... + 125536739337.

It is an arithmetic number, because the mean of its divisors is an integer number (3828707100).

Almost surely, 2^{2385198047232} is an apocalyptic number.

2385198047232 is a gapful number since it is divisible by the number (22) 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 2385198047232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145782342400).

2385198047232 is an abundant number, since it is smaller than the sum of its proper divisors (7906366637568).

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

2385198047232 is an equidigital number, since it uses as much as digits as its factorization.

2385198047232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2385198047232 in words is "two trillion, three hundred eighty-five billion, one hundred ninety-eight million, forty-seven thousand, two hundred thirty-two".