354436533060060 has 384 divisors, whose sum is σ = 1120131489899520. Its totient is φ = 82983309926400.

The previous prime is 354436533060007. The next prime is 354436533060079. The reversal of 354436533060060 is 60060335634453.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 354436533059991 and 354436533060009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25719210370 + ... + 25719224150.

It is an arithmetic number, because the mean of its divisors is an integer number (2917009088280).

Almost surely, 2^{354436533060060} is an apocalyptic number.

354436533060060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354436533060060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560065744949760).

354436533060060 is an abundant number, since it is smaller than the sum of its proper divisors (765694956839460).

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

354436533060060 is a wasteful number, since it uses less digits than its factorization.

354436533060060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21557 (or 21555 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 48.

The spelling of 354436533060060 in words is "three hundred fifty-four trillion, four hundred thirty-six billion, five hundred thirty-three million, sixty thousand, sixty".