31376204496 has 960 divisors, whose sum is σ = 126104428800. Its totient is φ = 7357464576.

The previous prime is 31376204491. The next prime is 31376204627. The reversal of 31376204496 is 69440267313.

31376204496 is a `hidden beast` number, since 3 + 13 + 7 + 620 + 4 + 4 + 9 + 6 = 666.

It is a super-2 number, since 2×31376204496² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31376204491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88884256 + ... + 88884608.

It is an arithmetic number, because the mean of its divisors is an integer number (131358780).

Almost surely, 2^31376204496 is an apocalyptic number.

31376204496 is a gapful number since it is divisible by the number (36) 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 31376204496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63052214400).

31376204496 is an abundant number, since it is smaller than the sum of its proper divisors (94728224304).

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

31376204496 is a wasteful number, since it uses less digits than its factorization.

31376204496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 31376204496 in words is "thirty-one billion, three hundred seventy-six million, two hundred four thousand, four hundred ninety-six".