1853742786048 has 720 divisors, whose sum is σ = 5916134624400. Its totient is φ = 579364503552.

The previous prime is 1853742786037. The next prime is 1853742786079. The reversal of 1853742786048 is 8406872473581.

It is a happy number.

1853742786048 is a `hidden beast` number, since 1 + 85 + 37 + 427 + 8 + 60 + 48 = 666.

It is a super-2 number, since 2×1853742786048² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6692212086 + ... + 6692212362.

It is an arithmetic number, because the mean of its divisors is an integer number (8216853645).

Almost surely, 2^{1853742786048} is an apocalyptic number.

1853742786048 is a gapful number since it is divisible by the number (18) 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 1853742786048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958067312200).

1853742786048 is an abundant number, since it is smaller than the sum of its proper divisors (4062391838352).

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

1853742786048 is an equidigital number, since it uses as much as digits as its factorization.

1853742786048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 1853742786048 in words is "one trillion, eight hundred fifty-three billion, seven hundred forty-two million, seven hundred eighty-six thousand, forty-eight".