354519908352 has 576 divisors, whose sum is σ = 1137656405340. Its totient is φ = 110075314176.

The previous prime is 354519908321. The next prime is 354519908359. The reversal of 354519908352 is 253809915453.

354519908352 is a `hidden beast` number, since 3 + 5 + 4 + 519 + 90 + 8 + 35 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 349252632576 + 5267275776 = 590976^2 + 72576^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (354519908359) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3654844368 + ... + 3654844464.

Almost surely, 2^354519908352 is an apocalyptic number.

354519908352 is a gapful number since it is divisible by the number (32) 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 354519908352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568828202670).

354519908352 is an abundant number, since it is smaller than the sum of its proper divisors (783136496988).

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

354519908352 is an frugal number, since it uses more digits than its factorization.

354519908352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 354519908352 in words is "three hundred fifty-four billion, five hundred nineteen million, nine hundred eight thousand, three hundred fifty-two".