31480135016000 has 448 divisors, whose sum is σ = 90107357243904. Its totient is φ = 10767171584000.

The previous prime is 31480135015939. The next prime is 31480135016021. The reversal of 31480135016000 is 61053108413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2763106304 + ... + 2763117696.

It is an arithmetic number, because the mean of its divisors is an integer number (201132493848).

Almost surely, 2^{31480135016000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31480135016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45053678621952).

31480135016000 is an abundant number, since it is smaller than the sum of its proper divisors (58627222227904).

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

31480135016000 is a wasteful number, since it uses less digits than its factorization.

31480135016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13295 (or 13275 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 31480135016000 in words is "thirty-one trillion, four hundred eighty billion, one hundred thirty-five million, sixteen thousand".