2132172358416 has 225 divisors, whose sum is σ = 6312534197431. Its totient is φ = 694796301504.

The previous prime is 2132172358343. The next prime is 2132172358439. The reversal of 2132172358416 is 6148532712312.

The square root of 2132172358416 is 1460196.

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

2132172358416 is a `hidden beast` number, since 2 + 1 + 32 + 1 + 7 + 23 + 584 + 16 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2470651201 + ... + 2470652063.

Almost surely, 2^{2132172358416} is an apocalyptic number.

2132172358416 is the 1460196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132172358416

2132172358416 is an abundant number, since it is smaller than the sum of its proper divisors (4180361839015).

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

2132172358416 is an frugal number, since it uses more digits than its factorization.

2132172358416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 915 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 2132172358416 in words is "two trillion, one hundred thirty-two billion, one hundred seventy-two million, three hundred fifty-eight thousand, four hundred sixteen".