31385146800 has 540 divisors, whose sum is σ = 122378391240. Its totient is φ = 6855045120.

The previous prime is 31385146787. The next prime is 31385146957. The reversal of 31385146800 is 864158313.

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 107 ways as a sum of consecutive naturals, for example, 31104696 + ... + 31105704.

Almost surely, 2^31385146800 is an apocalyptic number.

31385146800 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 31385146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61189195620).

31385146800 is an abundant number, since it is smaller than the sum of its proper divisors (90993244440).

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

31385146800 is a wasteful number, since it uses less digits than its factorization.

31385146800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 31385146800 in words is "thirty-one billion, three hundred eighty-five million, one hundred forty-six thousand, eight hundred".