353486891676672 has 2640 divisors, whose sum is σ = 1263636458726400. Its totient is φ = 97932631080960.

The previous prime is 353486891676671. The next prime is 353486891676691. The reversal of 353486891676672 is 276676198684353.

353486891676672 is a `hidden beast` number, since 3 + 5 + 3 + 486 + 8 + 9 + 1 + 6 + 7 + 66 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 353486891676591 and 353486891676600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353486891676671) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 805209320229 + ... + 805209320667.

It is an arithmetic number, because the mean of its divisors is an integer number (478650173760).

Almost surely, 2^{353486891676672} is an apocalyptic number.

353486891676672 is a gapful number since it is divisible by the number (32) 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 353486891676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631818229363200).

353486891676672 is an abundant number, since it is smaller than the sum of its proper divisors (910149567049728).

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

353486891676672 is a wasteful number, since it uses less digits than its factorization.

353486891676672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 614 counting only the distinct ones).

The product of its digits is 13168189440, while the sum is 81.

The spelling of 353486891676672 in words is "three hundred fifty-three trillion, four hundred eighty-six billion, eight hundred ninety-one million, six hundred seventy-six thousand, six hundred seventy-two".