21546145152 has 576 divisors, whose sum is σ = 76271307840. Its totient is φ = 6035420160.

The previous prime is 21546145133. The next prime is 21546145169. The reversal of 21546145152 is 25154164512.

21546145152 is a `hidden beast` number, since 2 + 1 + 5 + 461 + 45 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×21546145152² (a number of 21 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 71 ways as a sum of consecutive naturals, for example, 102114327 + ... + 102114537.

It is an arithmetic number, because the mean of its divisors is an integer number (132415465).

Almost surely, 2^21546145152 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 21546145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38135653920).

21546145152 is an abundant number, since it is smaller than the sum of its proper divisors (54725162688).

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

21546145152 is an equidigital number, since it uses as much as digits as its factorization.

21546145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 290 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The spelling of 21546145152 in words is "twenty-one billion, five hundred forty-six million, one hundred forty-five thousand, one hundred fifty-two".