354231320625 has 480 divisors, whose sum is σ = 832383552000. Its totient is φ = 144027072000.

The previous prime is 354231320621. The next prime is 354231320719. The reversal of 354231320625 is 526023132453.

354231320625 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 3 + 1 + 3 + 20 + 625 = 666.

It is not a de Polignac number, because 354231320625 - 2² = 354231320621 is a prime.

It is a super-3 number, since 3×354231320625³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354231320625.

It is not an unprimeable number, because it can be changed into a prime (354231320621) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 727374132 + ... + 727374618.

It is an arithmetic number, because the mean of its divisors is an integer number (1734132400).

Almost surely, 2^354231320625 is an apocalyptic number.

354231320625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

354231320625 is an abundant number, since it is smaller than the sum of its proper divisors (478152231375).

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

354231320625 is a wasteful number, since it uses less digits than its factorization.

354231320625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 354231320625 in words is "three hundred fifty-four billion, two hundred thirty-one million, three hundred twenty thousand, six hundred twenty-five".