354662541408 has 192 divisors, whose sum is σ = 1137329206272. Its totient is φ = 94562181120.

The previous prime is 354662541391. The next prime is 354662541413. The reversal of 354662541408 is 804145266453.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 353860 + ... + 913532.

It is an arithmetic number, because the mean of its divisors is an integer number (5923589616).

Almost surely, 2^354662541408 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 354662541408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568664603136).

354662541408 is an abundant number, since it is smaller than the sum of its proper divisors (782666664864).

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

354662541408 is a wasteful number, since it uses less digits than its factorization.

354662541408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559757 (or 559749 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 354662541408 in words is "three hundred fifty-four billion, six hundred sixty-two million, five hundred forty-one thousand, four hundred eight".