2354972606464 has 135 divisors (see below), whose sum is σ = 4978622338011. Its totient is φ = 1113745489920.

The previous prime is 2354972606449. The next prime is 2354972606473. The reversal of 2354972606464 is 4646062794532.

The square root of 2354972606464 is 1534592.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2354972606399 and 2354972606408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3732127429 + ... + 3732128059.

Almost surely, 2^{2354972606464} is an apocalyptic number.

2354972606464 is the 1534592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2354972606464

2354972606464 is an abundant number, since it is smaller than the sum of its proper divisors (2623649731547).

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

2354972606464 is an frugal number, since it uses more digits than its factorization.

2354972606464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 58.

The spelling of 2354972606464 in words is "two trillion, three hundred fifty-four billion, nine hundred seventy-two million, six hundred six thousand, four hundred sixty-four".