354378506496 has 288 divisors, whose sum is σ = 1127534499840. Its totient is φ = 96610516992.

The previous prime is 354378506491. The next prime is 354378506539. The reversal of 354378506496 is 694605873453.

It is not an unprimeable number, because it can be changed into a prime (354378506491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53536275 + ... + 53542893.

Almost surely, 2^354378506496 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 354378506496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563767249920).

354378506496 is an abundant number, since it is smaller than the sum of its proper divisors (773155993344).

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

354378506496 is a wasteful number, since it uses less digits than its factorization.

354378506496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7101 (or 7087 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 354378506496 in words is "three hundred fifty-four billion, three hundred seventy-eight million, five hundred six thousand, four hundred ninety-six".