31145644530 has 640 divisors, whose sum is σ = 113810780160. Its totient is φ = 5901672960.

The previous prime is 31145644513. The next prime is 31145644553. The reversal of 31145644530 is 3544654113.

31145644530 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 5 + 644 + 5 + 3 + 0 = 666.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 86756491 + ... + 86756849.

It is an arithmetic number, because the mean of its divisors is an integer number (177829344).

Almost surely, 2^31145644530 is an apocalyptic number.

31145644530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31145644530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56905390080).

31145644530 is an abundant number, since it is smaller than the sum of its proper divisors (82665135630).

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

31145644530 is a wasteful number, since it uses less digits than its factorization.

31145644530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 31145644530 in words is "thirty-one billion, one hundred forty-five million, six hundred forty-four thousand, five hundred thirty".