31854084480 has 192 divisors, whose sum is σ = 110089717920. Its totient is φ = 8487198720.

The previous prime is 31854084473. The next prime is 31854084481. The reversal of 31854084480 is 8448045813.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31854084481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13310164 + ... + 13312556.

Almost surely, 2^31854084480 is an apocalyptic number.

31854084480 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 31854084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55044858960).

31854084480 is an abundant number, since it is smaller than the sum of its proper divisors (78235633440).

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

31854084480 is a wasteful number, since it uses less digits than its factorization.

31854084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4729 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 31854084480 in words is "thirty-one billion, eight hundred fifty-four million, eighty-four thousand, four hundred eighty".