354619219968 has 448 divisors, whose sum is σ = 1191214483200. Its totient is φ = 103354859520.

The previous prime is 354619219957. The next prime is 354619220027. The reversal of 354619219968 is 869912916453.

354619219968 is a `hidden beast` number, since 3 + 5 + 4 + 619 + 2 + 1 + 9 + 9 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54629203 + ... + 54635693.

It is an arithmetic number, because the mean of its divisors is an integer number (2658960900).

Almost surely, 2^354619219968 is an apocalyptic number.

354619219968 is a gapful number since it is divisible by the number (38) 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 354619219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595607241600).

354619219968 is an abundant number, since it is smaller than the sum of its proper divisors (836595263232).

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

354619219968 is a wasteful number, since it uses less digits than its factorization.

354619219968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558 (or 6528 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 354619219968 in words is "three hundred fifty-four billion, six hundred nineteen million, two hundred nineteen thousand, nine hundred sixty-eight".