31354253645550 has 192 divisors, whose sum is σ = 85289323991040. Its totient is φ = 7559666496000.

The previous prime is 31354253645531. The next prime is 31354253645557. The reversal of 31354253645550 is 5554635245313.

It is a junction number, because it is equal to n+sod(n) for n = 31354253645493 and 31354253645502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31354253645557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2416878864 + ... + 2416891836.

It is an arithmetic number, because the mean of its divisors is an integer number (444215229120).

Almost surely, 2^{31354253645550} is an apocalyptic number.

31354253645550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31354253645550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42644661995520).

31354253645550 is an abundant number, since it is smaller than the sum of its proper divisors (53935070345490).

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

31354253645550 is a wasteful number, since it uses less digits than its factorization.

31354253645550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20859 (or 20854 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 51.

The spelling of 31354253645550 in words is "thirty-one trillion, three hundred fifty-four billion, two hundred fifty-three million, six hundred forty-five thousand, five hundred fifty".