354532211125120 has 256 divisors, whose sum is σ = 1004170279956480. Its totient is φ = 117127934853120.

The previous prime is 354532211125109. The next prime is 354532211125121. The reversal of 354532211125120 is 21521112235453.

It is a happy number.

It is a super-2 number, since 2×354532211125120² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354532211125120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354532211125121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26880939 + ... + 37837141.

It is an arithmetic number, because the mean of its divisors is an integer number (3922540156080).

Almost surely, 2^{354532211125120} 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 354532211125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502085139978240).

354532211125120 is an abundant number, since it is smaller than the sum of its proper divisors (649638068831360).

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

354532211125120 is a wasteful number, since it uses less digits than its factorization.

354532211125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956493 (or 10956481 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 354532211125120 in words is "three hundred fifty-four trillion, five hundred thirty-two billion, two hundred eleven million, one hundred twenty-five thousand, one hundred twenty".