354359787264 has 432 divisors, whose sum is σ = 1184413950720. Its totient is φ = 99804856320.

The previous prime is 354359787263. The next prime is 354359787269. The reversal of 354359787264 is 462787953453.

It is a happy number.

354359787264 is a `hidden beast` number, since 3 + 5 + 435 + 9 + 78 + 72 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354359787263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378185004 + ... + 378185940.

It is an arithmetic number, because the mean of its divisors is an integer number (2741698960).

Almost surely, 2^354359787264 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 354359787264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592206975360).

354359787264 is an abundant number, since it is smaller than the sum of its proper divisors (830054163456).

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

354359787264 is a wasteful number, since it uses less digits than its factorization.

354359787264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1259 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 354359787264 in words is "three hundred fifty-four billion, three hundred fifty-nine million, seven hundred eighty-seven thousand, two hundred sixty-four".