21113146506452 has 288 divisors, whose sum is σ = 51753152779776. Its totient is φ = 7405006694400.

The previous prime is 21113146506443. The next prime is 21113146506457. The reversal of 21113146506452 is 25460564131112.

It is a super-3 number, since 3×21113146506452³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113146506457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 370137278 + ... + 370194314.

It is an arithmetic number, because the mean of its divisors is an integer number (179698447152).

Almost surely, 2^{21113146506452} is an apocalyptic number.

21113146506452 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 21113146506452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25876576389888).

21113146506452 is an abundant number, since it is smaller than the sum of its proper divisors (30640006273324).

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

21113146506452 is a wasteful number, since it uses less digits than its factorization.

21113146506452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57407 (or 57398 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 21113146506452 in words is "twenty-one trillion, one hundred thirteen billion, one hundred forty-six million, five hundred six thousand, four hundred fifty-two".