354663216044640 has 384 divisors, whose sum is σ = 1270247349127680. Its totient is φ = 92373166319616.

The previous prime is 354663216044603. The next prime is 354663216044659. The reversal of 354663216044640 is 46440612366453.

354663216044640 is a `hidden beast` number, since 3 + 5 + 4 + 6 + 6 + 3 + 21 + 604 + 4 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7921341294 + ... + 7921386066.

It is an arithmetic number, because the mean of its divisors is an integer number (3307935805020).

Almost surely, 2^{354663216044640} is an apocalyptic number.

354663216044640 is a gapful number since it is divisible by the number (30) 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 354663216044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635123674563840).

354663216044640 is an abundant number, since it is smaller than the sum of its proper divisors (915584133083040).

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

354663216044640 is a wasteful number, since it uses less digits than its factorization.

354663216044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87483 (or 87469 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 354663216044640 in words is "three hundred fifty-four trillion, six hundred sixty-three billion, two hundred sixteen million, forty-four thousand, six hundred forty".