354775943208960 has 2240 divisors, whose sum is σ = 1586907882628992. Its totient is φ = 73823844040704.

The previous prime is 354775943208931. The next prime is 354775943208961. The reversal of 354775943208960 is 69802349577453.

It is a happy number.

354775943208960 is a `hidden beast` number, since 3 + 5 + 4 + 7 + 7 + 59 + 432 + 0 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×354775943208960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354775943208961) 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 159 ways as a sum of consecutive naturals, for example, 22039871632 + ... + 22039887728.

Almost surely, 2^{354775943208960} is an apocalyptic number.

354775943208960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354775943208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793453941314496).

354775943208960 is an abundant number, since it is smaller than the sum of its proper divisors (1232131939420032).

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

354775943208960 is a wasteful number, since it uses less digits than its factorization.

354775943208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16233 (or 16200 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 354775943208960 in words is "three hundred fifty-four trillion, seven hundred seventy-five billion, nine hundred forty-three million, two hundred eight thousand, nine hundred sixty".