31546461312 has 128 divisors (see below), whose sum is σ = 93930984000. Its totient is φ = 10422300672.

The previous prime is 31546461263. The next prime is 31546461313. The reversal of 31546461312 is 21316464513.

31546461312 is a `hidden beast` number, since 3 + 1 + 5 + 4 + 646 + 1 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×31546461312² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31546461313) 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 15 ways as a sum of consecutive naturals, for example, 350139 + ... + 430917.

Almost surely, 2^31546461312 is an apocalyptic number.

31546461312 is a gapful number since it is divisible by the number (32) 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 31546461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46965492000).

31546461312 is an abundant number, since it is smaller than the sum of its proper divisors (62384522688).

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

31546461312 is a wasteful number, since it uses less digits than its factorization.

31546461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80915 (or 80897 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 31546461312 in words is "thirty-one billion, five hundred forty-six million, four hundred sixty-one thousand, three hundred twelve".