4931106264 has 144 divisors (see below), whose sum is σ = 15772732560. Its totient is φ = 1363305600.

The previous prime is 4931106253. The next prime is 4931106281. The reversal of 4931106264 is 4626011394.

4931106264 is a `hidden beast` number, since 493 + 1 + 106 + 2 + 64 = 666.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479254 + ... + 489434.

It is an arithmetic number, because the mean of its divisors is an integer number (109532865).

Almost surely, 2^4931106264 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 4931106264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7886366280).

4931106264 is an abundant number, since it is smaller than the sum of its proper divisors (10841626296).

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

4931106264 is a wasteful number, since it uses less digits than its factorization.

4931106264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10262 (or 10224 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4931106264 is about 70221.8360910622. The cubic root of 4931106264 is about 1702.0858208325.

It can be divided in two parts, 4931106 and 264, that added together give a triangular number (4931370 = T₃₁₄₀).

The spelling of 4931106264 in words is "four billion, nine hundred thirty-one million, one hundred six thousand, two hundred sixty-four".