16863845948352 has 280 divisors, whose sum is σ = 55571708162432. Its totient is φ = 5021491968000.

The previous prime is 16863845948347. The next prime is 16863845948357. The reversal of 16863845948352 is 25384954836861.

16863845948352 is a `hidden beast` number, since 1 + 6 + 8 + 63 + 84 + 5 + 9 + 483 + 5 + 2 = 666.

16863845948352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16863845948347) and next prime (16863845948357).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16863845948357) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1946899 + ... + 6125202.

Almost surely, 2^{16863845948352} is an apocalyptic number.

16863845948352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16863845948352 is an abundant number, since it is smaller than the sum of its proper divisors (38707862214080).

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

16863845948352 is a wasteful number, since it uses less digits than its factorization.

16863845948352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8072169 (or 8072150 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 16863845948352 in words is "sixteen trillion, eight hundred sixty-three billion, eight hundred forty-five million, nine hundred forty-eight thousand, three hundred fifty-two".