354644244442480 has 320 divisors, whose sum is σ = 869634589824000. Its totient is φ = 134243413032960.

The previous prime is 354644244442459. The next prime is 354644244442547. The reversal of 354644244442480 is 84244442446453.

It is a super-3 number, since 3×354644244442480³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46364781696 + ... + 46364789344.

It is an arithmetic number, because the mean of its divisors is an integer number (2717608093200).

Almost surely, 2^{354644244442480} 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 354644244442480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434817294912000).

354644244442480 is an abundant number, since it is smaller than the sum of its proper divisors (514990345381520).

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

354644244442480 is a wasteful number, since it uses less digits than its factorization.

354644244442480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8592 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 188743680, while the sum is 58.

The spelling of 354644244442480 in words is "three hundred fifty-four trillion, six hundred forty-four billion, two hundred forty-four million, four hundred forty-two thousand, four hundred eighty".