18934928401536 has 384 divisors, whose sum is σ = 63431780106240. Its totient is φ = 5309828536320.

The previous prime is 18934928401511. The next prime is 18934928401541. The reversal of 18934928401536 is 63510482943981.

18934928401536 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 4 + 92 + 8 + 4 + 0 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127603161 + ... + 127751463.

It is an arithmetic number, because the mean of its divisors is an integer number (165186927360).

Almost surely, 2^{18934928401536} is an apocalyptic number.

18934928401536 is a gapful number since it is divisible by the number (16) 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 18934928401536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31715890053120).

18934928401536 is an abundant number, since it is smaller than the sum of its proper divisors (44496851704704).

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

18934928401536 is a wasteful number, since it uses less digits than its factorization.

18934928401536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148624 (or 148609 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 18934928401536 in words is "eighteen trillion, nine hundred thirty-four billion, nine hundred twenty-eight million, four hundred one thousand, five hundred thirty-six".