20361534144 has 224 divisors, whose sum is σ = 63392157696. Its totient is φ = 5646827520.

The previous prime is 20361534113. The next prime is 20361534197. The reversal of 20361534144 is 44143516302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12287364 + ... + 12289020.

It is an arithmetic number, because the mean of its divisors is an integer number (283000704).

Almost surely, 2^20361534144 is an apocalyptic number.

20361534144 is a gapful number since it is divisible by the number (24) 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 20361534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31696078848).

20361534144 is an abundant number, since it is smaller than the sum of its proper divisors (43030623552).

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

20361534144 is a wasteful number, since it uses less digits than its factorization.

20361534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 20361534144 in words is "twenty billion, three hundred sixty-one million, five hundred thirty-four thousand, one hundred forty-four".