31484312496000 has 6144 divisors, whose sum is σ = 155532411740160. Its totient is φ = 6148738252800.

The previous prime is 31484312495983. The next prime is 31484312496017. The reversal of 31484312496000 is 69421348413.

31484312496000 is a `hidden beast` number, since 3 + 1 + 4 + 8 + 4 + 31 + 2 + 4 + 9 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31484312495983) and next prime (31484312496017).

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

It is a congruent number.

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 767 ways as a sum of consecutive naturals, for example, 431291951964 + ... + 431291952036.

It is an arithmetic number, because the mean of its divisors is an integer number (25314520140).

Almost surely, 2^{31484312496000} is an apocalyptic number.

31484312496000 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 31484312496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77766205870080).

31484312496000 is an abundant number, since it is smaller than the sum of its proper divisors (124048099244160).

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

31484312496000 is a wasteful number, since it uses less digits than its factorization.

31484312496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 31484312496000 in words is "thirty-one trillion, four hundred eighty-four billion, three hundred twelve million, four hundred ninety-six thousand".