31485428352000 has 4928 divisors, whose sum is σ = 147430219622400. Its totient is φ = 6546471321600.

The previous prime is 31485428351989. The next prime is 31485428352023. The reversal of 31485428352000 is 25382458413.

31485428352000 is a `hidden beast` number, since 3 + 1 + 4 + 8 + 5 + 42 + 83 + 520 + 0 + 0 = 666.

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

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 447 ways as a sum of consecutive naturals, for example, 533651327971 + ... + 533651328029.

Almost surely, 2^{31485428352000} is an apocalyptic number.

31485428352000 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 31485428352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73715109811200).

31485428352000 is an abundant number, since it is smaller than the sum of its proper divisors (115944791270400).

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

31485428352000 is an equidigital number, since it uses as much as digits as its factorization.

31485428352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 31485428352000 in words is "thirty-one trillion, four hundred eighty-five billion, four hundred twenty-eight million, three hundred fifty-two thousand".