31814196480 has 216 divisors, whose sum is σ = 120080993760. Its totient is φ = 7712501760.

The previous prime is 31814196433. The next prime is 31814196487. The reversal of 31814196480 is 8469141813.

31814196480 is a `hidden beast` number, since 3 + 1 + 81 + 4 + 1 + 96 + 480 = 666.

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 (31814196487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1191 + ... + 252249.

Almost surely, 2^31814196480 is an apocalyptic number.

31814196480 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 31814196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60040496880).

31814196480 is an abundant number, since it is smaller than the sum of its proper divisors (88266797280).

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

31814196480 is a wasteful number, since it uses less digits than its factorization.

31814196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251097 (or 251080 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 31814196480 in words is "thirty-one billion, eight hundred fourteen million, one hundred ninety-six thousand, four hundred eighty".