354324166560000 has 4320 divisors, whose sum is σ = 1649443741545600. Its totient is φ = 74341048320000.

The previous prime is 354324166559989. The next prime is 354324166560037. The reversal of 354324166560000 is 65661423453.

354324166560000 is a `hidden beast` number, since 3 + 5 + 4 + 3 + 24 + 1 + 66 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 910859039806 + ... + 910859040194.

Almost surely, 2^{354324166560000} is an apocalyptic number.

354324166560000 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 354324166560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824721870772800).

354324166560000 is an abundant number, since it is smaller than the sum of its proper divisors (1295119574985600).

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

354324166560000 is a wasteful number, since it uses less digits than its factorization.

354324166560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 354324166560000 in words is "three hundred fifty-four trillion, three hundred twenty-four billion, one hundred sixty-six million, five hundred sixty thousand".