354535666501632 has 1152 divisors, whose sum is σ = 1230319485158400. Its totient is φ = 88814264647680.

The previous prime is 354535666501553. The next prime is 354535666501657. The reversal of 354535666501632 is 236105666535453.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16272797043 + ... + 16272818829.

It is an arithmetic number, because the mean of its divisors is an integer number (1067985664200).

Almost surely, 2^{354535666501632} is an apocalyptic number.

354535666501632 is a gapful number since it is divisible by the number (32) 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 354535666501632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615159742579200).

354535666501632 is an abundant number, since it is smaller than the sum of its proper divisors (875783818656768).

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

354535666501632 is a wasteful number, since it uses less digits than its factorization.

354535666501632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21953 (or 21922 counting only the distinct ones).

The product of its (nonzero) digits is 174960000, while the sum is 60.

The spelling of 354535666501632 in words is "three hundred fifty-four trillion, five hundred thirty-five billion, six hundred sixty-six million, five hundred one thousand, six hundred thirty-two".