354631542540 has 192 divisors, whose sum is σ = 1105262226432. Its totient is φ = 84228019200.

The previous prime is 354631542533. The next prime is 354631542571. The reversal of 354631542540 is 45245136453.

354631542540 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 354631542492 and 354631542501.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25633425 + ... + 25647255.

It is an arithmetic number, because the mean of its divisors is an integer number (5756574096).

Almost surely, 2^354631542540 is an apocalyptic number.

354631542540 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 354631542540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552631113216).

354631542540 is an abundant number, since it is smaller than the sum of its proper divisors (750630683892).

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

354631542540 is a wasteful number, since it uses less digits than its factorization.

354631542540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14640 (or 14638 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 354631542540 its reverse (45245136453), we get a palindrome (399876678993).

The spelling of 354631542540 in words is "three hundred fifty-four billion, six hundred thirty-one million, five hundred forty-two thousand, five hundred forty".