354248755344 has 405 divisors, whose sum is σ = 1138397147251. Its totient is φ = 106705304640.

The previous prime is 354248755337. The next prime is 354248755361. The reversal of 354248755344 is 443557842453.

The square root of 354248755344 is 595188.

It is a perfect power (a square), and thus also a powerful number.

354248755344 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 4 + 87 + 553 + 4 + 4 = 666.

It is a super-3 number, since 3×354248755344³ (a number of 36 digits) contains 333 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2121249949 + ... + 2121250115.

Almost surely, 2^354248755344 is an apocalyptic number.

354248755344 is the 595188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354248755344

354248755344 is an abundant number, since it is smaller than the sum of its proper divisors (784148391907).

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

354248755344 is an frugal number, since it uses more digits than its factorization.

354248755344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 183 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 54.

The spelling of 354248755344 in words is "three hundred fifty-four billion, two hundred forty-eight million, seven hundred fifty-five thousand, three hundred forty-four".