354642239952 has 1280 divisors, whose sum is σ = 1441347747840. Its totient is φ = 80472268800.

The previous prime is 354642239947. The next prime is 354642239977. The reversal of 354642239952 is 259932246453.

It is a happy number.

354642239952 is a `hidden beast` number, since 3 + 546 + 4 + 2 + 2 + 3 + 9 + 95 + 2 = 666.

It is a super-2 number, since 2×354642239952² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1800214318 + ... + 1800214514.

It is an arithmetic number, because the mean of its divisors is an integer number (1126052928).

Almost surely, 2^354642239952 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 354642239952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720673873920).

354642239952 is an abundant number, since it is smaller than the sum of its proper divisors (1086705507888).

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

354642239952 is a wasteful number, since it uses less digits than its factorization.

354642239952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 437 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 354642239952 in words is "three hundred fifty-four billion, six hundred forty-two million, two hundred thirty-nine thousand, nine hundred fifty-two".