354240511352 has 128 divisors (see below), whose sum is σ = 841769228160. Its totient is φ = 136010465280.

The previous prime is 354240511343. The next prime is 354240511399. The reversal of 354240511352 is 253115042453.

It is a super-4 number, since 4×354240511352⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5729918 + ... + 5791410.

It is an arithmetic number, because the mean of its divisors is an integer number (6576322095).

Almost surely, 2^354240511352 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 354240511352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420884614080).

354240511352 is an abundant number, since it is smaller than the sum of its proper divisors (487528716808).

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

354240511352 is a wasteful number, since it uses less digits than its factorization.

354240511352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61753 (or 61749 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 354240511352 in words is "three hundred fifty-four billion, two hundred forty million, five hundred eleven thousand, three hundred fifty-two".