31018401792 has 630 divisors, whose sum is σ = 110236510818. Its totient is φ = 8695185408.

The previous prime is 31018401781. The next prime is 31018401809. The reversal of 31018401792 is 29710481013.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 28677390336 + 2341011456 = 169344^2 + 48384^2 .

It is a super-2 number, since 2×31018401792² (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 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 41 ways as a sum of consecutive naturals, for example, 585252838 + ... + 585252890.

Almost surely, 2^31018401792 is an apocalyptic number.

31018401792 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 31018401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55118255409).

31018401792 is an abundant number, since it is smaller than the sum of its proper divisors (79218109026).

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

31018401792 is an frugal number, since it uses more digits than its factorization.

31018401792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 31018401792 in words is "thirty-one billion, eighteen million, four hundred one thousand, seven hundred ninety-two".