31451327064 has 96 divisors (see below), whose sum is σ = 87218604720. Its totient is φ = 10235731968.

The previous prime is 31451327053. The next prime is 31451327077. The reversal of 31451327064 is 46072315413.

31451327064 is a `hidden beast` number, since 3 + 14 + 513 + 2 + 70 + 64 = 666.

It is a super-3 number, since 3×31451327064³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516264 + ... + 573960.

Almost surely, 2^31451327064 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 31451327064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43609302360).

31451327064 is an abundant number, since it is smaller than the sum of its proper divisors (55767277656).

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

31451327064 is a wasteful number, since it uses less digits than its factorization.

31451327064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57889 (or 57882 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 31451327064 in words is "thirty-one billion, four hundred fifty-one million, three hundred twenty-seven thousand, sixty-four".