354757966368 has 96 divisors (see below), whose sum is σ = 1006038242496. Its totient is φ = 108811834368.

The previous prime is 354757966357. The next prime is 354757966369. The reversal of 354757966368 is 863669757453.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×354757966368² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (354757966369) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52746 + ... + 843977.

It is an arithmetic number, because the mean of its divisors is an integer number (10479565026).

Almost surely, 2^354757966368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354757966368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503019121248).

354757966368 is an abundant number, since it is smaller than the sum of its proper divisors (651280276128).

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

354757966368 is a wasteful number, since it uses less digits than its factorization.

354757966368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897066 (or 897058 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 69.

It can be divided in two parts, 354757 and 966368, that added together give a triangular number (1321125 = T₁₆₂₅).

The spelling of 354757966368 in words is "three hundred fifty-four billion, seven hundred fifty-seven million, nine hundred sixty-six thousand, three hundred sixty-eight".