18511020963648 has 140 divisors (see below), whose sum is σ = 56764619543940. Its totient is φ = 5957569916928.

The previous prime is 18511020963641. The next prime is 18511020963653. The reversal of 18511020963648 is 84636902011581.

It is a happy number.

18511020963648 is a `hidden beast` number, since 1 + 8 + 511 + 0 + 2 + 0 + 9 + 63 + 64 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10122629465664 + 8388391497984 = 3181608^2 + 2896272^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18511020963594 and 18511020963603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18511020963641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61415161 + ... + 61715832.

It is an arithmetic number, because the mean of its divisors is an integer number (405461568171).

Almost surely, 2^{18511020963648} is an apocalyptic number.

18511020963648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18511020963648 is an abundant number, since it is smaller than the sum of its proper divisors (38253598580292).

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

18511020963648 is a wasteful number, since it uses less digits than its factorization.

18511020963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123131046 (or 123131027 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 18511020963648 in words is "eighteen trillion, five hundred eleven billion, twenty million, nine hundred sixty-three thousand, six hundred forty-eight".