354740246064 has 320 divisors, whose sum is σ = 1068664934400. Its totient is φ = 112534272000.

The previous prime is 354740246051. The next prime is 354740246087. The reversal of 354740246064 is 460642047453.

354740246064 is a `hidden beast` number, since 3 + 547 + 4 + 0 + 2 + 46 + 0 + 64 = 666.

It is a super-3 number, since 3×354740246064³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220471692 + ... + 220473300.

It is an arithmetic number, because the mean of its divisors is an integer number (3339577920).

Almost surely, 2^354740246064 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 354740246064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534332467200).

354740246064 is an abundant number, since it is smaller than the sum of its proper divisors (713924688336).

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

354740246064 is a wasteful number, since it uses less digits than its factorization.

354740246064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 354740246064 in words is "three hundred fifty-four billion, seven hundred forty million, two hundred forty-six thousand, sixty-four".