31004451456 has 192 divisors, whose sum is σ = 92015464800. Its totient is φ = 9240422400.

The previous prime is 31004451451. The next prime is 31004451463. The reversal of 31004451456 is 65415440013.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×31004451456² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (31004451451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2828835 + ... + 2839773.

Almost surely, 2^31004451456 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 31004451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46007732400).

31004451456 is an abundant number, since it is smaller than the sum of its proper divisors (61011013344).

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

31004451456 is a wasteful number, since it uses less digits than its factorization.

31004451456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11039 (or 11016 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 31004451456 its reverse (65415440013), we get a palindrome (96419891469).

The spelling of 31004451456 in words is "thirty-one billion, four million, four hundred fifty-one thousand, four hundred fifty-six".