2232338451552 has 648 divisors, whose sum is σ = 7268655139200. Its totient is φ = 649351296000.

The previous prime is 2232338451533. The next prime is 2232338451593. The reversal of 2232338451552 is 2551548332322.

2232338451552 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 3 + 3 + 84 + 515 + 52 = 666.

It is a super-3 number, since 3×2232338451552³ (a number of 38 digits) contains 333 as substring.

Its product of digits (1728000) is a multiple of the sum of its prime factors (640).

It is a junction number, because it is equal to n+sod(n) for n = 2232338451498 and 2232338451507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6396385074 + ... + 6396385422.

It is an arithmetic number, because the mean of its divisors is an integer number (11217060400).

Almost surely, 2^{2232338451552} is an apocalyptic number.

2232338451552 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 2232338451552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634327569600).

2232338451552 is an abundant number, since it is smaller than the sum of its proper divisors (5036316687648).

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

2232338451552 is a wasteful number, since it uses less digits than its factorization.

2232338451552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 587 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 2232338451552 in words is "two trillion, two hundred thirty-two billion, three hundred thirty-eight million, four hundred fifty-one thousand, five hundred fifty-two".