18365751047952 has 2560 divisors, whose sum is σ = 73762288435200. Its totient is φ = 4267904256000.

The previous prime is 18365751047947. The next prime is 18365751047957. The reversal of 18365751047952 is 25974015756381.

18365751047952 is a `hidden beast` number, since 1 + 8 + 3 + 6 + 575 + 1 + 0 + 4 + 7 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (18365751047947) and next prime (18365751047957).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 18365751047952.

It is not an unprimeable number, because it can be changed into a prime (18365751047957) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 144612212913 + ... + 144612213039.

It is an arithmetic number, because the mean of its divisors is an integer number (28813393920).

It is a 1-persistent number, because it is pandigital, but 2⋅18365751047952 = 36731502095904 is not.

Almost surely, 2^{18365751047952} is an apocalyptic number.

18365751047952 is a gapful number since it is divisible by the number (12) 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 18365751047952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36881144217600).

18365751047952 is an abundant number, since it is smaller than the sum of its proper divisors (55396537387248).

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

18365751047952 is a wasteful number, since it uses less digits than its factorization.

18365751047952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 18365751047952 in words is "eighteen trillion, three hundred sixty-five billion, seven hundred fifty-one million, forty-seven thousand, nine hundred fifty-two".