18932677150464 has 1296 divisors, whose sum is σ = 72030688853760. Its totient is φ = 4904419000320.

The previous prime is 18932677150463. The next prime is 18932677150487. The reversal of 18932677150464 is 46405177623981.

18932677150464 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 2 + 67 + 7 + 1 + 504 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18932677150463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22565764957 + ... + 22565765795.

It is a 1-persistent number, because it is pandigital, but 2⋅18932677150464 = 37865354300928 is not.

Almost surely, 2^{18932677150464} is an apocalyptic number.

18932677150464 is a gapful number since it is divisible by the number (14) 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 18932677150464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36015344426880).

18932677150464 is an abundant number, since it is smaller than the sum of its proper divisors (53098011703296).

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

18932677150464 is an equidigital number, since it uses as much as digits as its factorization.

18932677150464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 18932677150464 in words is "eighteen trillion, nine hundred thirty-two billion, six hundred seventy-seven million, one hundred fifty thousand, four hundred sixty-four".