354856674816 has 640 divisors, whose sum is σ = 1283382144000. Its totient is φ = 94500421632.

The previous prime is 354856674811. The next prime is 354856674871. The reversal of 354856674816 is 618476658453.

354856674816 is a `hidden beast` number, since 3 + 5 + 48 + 56 + 67 + 481 + 6 = 666.

It is a super-2 number, since 2×354856674816² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354856674811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179310115 + ... + 179312093.

It is an arithmetic number, because the mean of its divisors is an integer number (2005284600).

Almost surely, 2^354856674816 is an apocalyptic number.

354856674816 is a gapful number since it is divisible by the number (36) 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 354856674816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641691072000).

354856674816 is an abundant number, since it is smaller than the sum of its proper divisors (928525469184).

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

354856674816 is a wasteful number, since it uses less digits than its factorization.

354856674816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2117 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 354856674816 in words is "three hundred fifty-four billion, eight hundred fifty-six million, six hundred seventy-four thousand, eight hundred sixteen".