2133451681956 has 243 divisors, whose sum is σ = 6365048165931. Its totient is φ = 600776291808.

The previous prime is 2133451681943. The next prime is 2133451681987. The reversal of 2133451681956 is 6591861543312.

The square root of 2133451681956 is 1460634.

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

2133451681956 is a `hidden beast` number, since 2 + 1 + 3 + 34 + 516 + 8 + 1 + 95 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5091769915 + ... + 5091770333.

Almost surely, 2^{2133451681956} is an apocalyptic number.

2133451681956 is the 1460634-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133451681956

2133451681956 is an abundant number, since it is smaller than the sum of its proper divisors (4231596483975).

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

2133451681956 is an equidigital number, since it uses as much as digits as its factorization.

2133451681956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 514 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 2133451681956 in words is "two trillion, one hundred thirty-three billion, four hundred fifty-one million, six hundred eighty-one thousand, nine hundred fifty-six".