210456654012 has 144 divisors (see below), whose sum is σ = 596470309344. Its totient is φ = 62005824000.

The previous prime is 210456654007. The next prime is 210456654091.

210456654012 is a `hidden beast` number, since 2 + 1 + 0 + 45 + 66 + 540 + 12 = 666.

210456654012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×210456654012² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 23746462 + ... + 23755322.

It is an arithmetic number, because the mean of its divisors is an integer number (4142154926).

Almost surely, 2^210456654012 is an apocalyptic number.

210456654012 is a gapful number since it is divisible by the number (22) 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 210456654012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298235154672).

210456654012 is an abundant number, since it is smaller than the sum of its proper divisors (386013655332).

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

210456654012 is a wasteful number, since it uses less digits than its factorization.

210456654012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10540 (or 10535 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 210456 and 654012, that added together give a palindrome (864468).

The spelling of 210456654012 in words is "two hundred ten billion, four hundred fifty-six million, six hundred fifty-four thousand, twelve".