353385864000 has 1344 divisors, whose sum is σ = 1481544529920. Its totient is φ = 79626240000.

The previous prime is 353385863953. The next prime is 353385864043. The reversal of 353385864000 is 468583353.

353385864000 is a `hidden beast` number, since 3 + 533 + 8 + 58 + 64 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 551303680 + ... + 551304320.

It is an arithmetic number, because the mean of its divisors is an integer number (1102339680).

Almost surely, 2^353385864000 is an apocalyptic number.

353385864000 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 353385864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740772264960).

353385864000 is an abundant number, since it is smaller than the sum of its proper divisors (1128158665920).

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

353385864000 is a wasteful number, since it uses less digits than its factorization.

353385864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 353385864000 in words is "three hundred fifty-three billion, three hundred eighty-five million, eight hundred sixty-four thousand".