1853168696064 has 288 divisors, whose sum is σ = 6323846896640. Its totient is φ = 524334809088.

The previous prime is 1853168696053. The next prime is 1853168696081. The reversal of 1853168696064 is 4606968613581.

1853168696064 is a `hidden beast` number, since 1 + 8 + 5 + 3 + 16 + 8 + 6 + 9 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1853168695992 and 1853168696010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4797624 + ... + 5169480.

Almost surely, 2^{1853168696064} is an apocalyptic number.

1853168696064 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 1853168696064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161923448320).

1853168696064 is an abundant number, since it is smaller than the sum of its proper divisors (4470678200576).

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

1853168696064 is a wasteful number, since it uses less digits than its factorization.

1853168696064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371992 (or 371972 counting only the distinct ones).

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

The spelling of 1853168696064 in words is "one trillion, eight hundred fifty-three billion, one hundred sixty-eight million, six hundred ninety-six thousand, sixty-four".