31491274752 has 288 divisors, whose sum is σ = 106498959840. Its totient is φ = 8776581120.

The previous prime is 31491274697. The next prime is 31491274777. The reversal of 31491274752 is 25747219413.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 31491274698 and 31491274707.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5287008 + ... + 5292960.

It is an arithmetic number, because the mean of its divisors is an integer number (369788055).

Almost surely, 2^31491274752 is an apocalyptic number.

31491274752 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 31491274752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53249479920).

31491274752 is an abundant number, since it is smaller than the sum of its proper divisors (75007685088).

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

31491274752 is a wasteful number, since it uses less digits than its factorization.

31491274752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6029 (or 6006 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 31491274752 in words is "thirty-one billion, four hundred ninety-one million, two hundred seventy-four thousand, seven hundred fifty-two".