6452229935376 has 225 divisors, whose sum is σ = 19203055820949. Its totient is φ = 2091517780608.

The previous prime is 6452229935309. The next prime is 6452229935387. The reversal of 6452229935376 is 6735399222546.

It is a happy number.

The square root of 6452229935376 is 2540124.

It is a perfect power (a square), and thus also a powerful number.

6452229935376 is a `hidden beast` number, since 6 + 4 + 5 + 2 + 2 + 2 + 9 + 93 + 537 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5773543952400 + 678685982976 = 2402820^2 + 823824^2 .

It is a super-2 number, since 2×6452229935376² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3383444215 + ... + 3383446121.

Almost surely, 2^{6452229935376} is an apocalyptic number.

6452229935376 is the 2540124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6452229935376

6452229935376 is an abundant number, since it is smaller than the sum of its proper divisors (12750825885573).

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

6452229935376 is an frugal number, since it uses more digits than its factorization.

6452229935376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 1949 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 63.

The spelling of 6452229935376 in words is "six trillion, four hundred fifty-two billion, two hundred twenty-nine million, nine hundred thirty-five thousand, three hundred seventy-six".