10031164416 has 528 divisors, whose sum is σ = 37052730624. Its totient is φ = 2639609856.

The previous prime is 10031164411. The next prime is 10031164417. The reversal of 10031164416 is 61446113001.

10031164416 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 1 + 1 + 644 + 16 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10031164416.

It is not an unprimeable number, because it can be changed into a prime (10031164411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22643491 + ... + 22643933.

Almost surely, 2^10031164416 is an apocalyptic number.

10031164416 is a gapful number since it is divisible by the number (16) 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 10031164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18526365312).

10031164416 is an abundant number, since it is smaller than the sum of its proper divisors (27021566208).

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

10031164416 is an equidigital number, since it uses as much as digits as its factorization.

10031164416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10031164416 its reverse (61446113001), we get a palindrome (71477277417).

The spelling of 10031164416 in words is "ten billion, thirty-one million, one hundred sixty-four thousand, four hundred sixteen".