1835121645 has 96 divisors (see below), whose sum is σ = 3703744512. Its totient is φ = 823291776.

The previous prime is 1835121641. The next prime is 1835121667. The reversal of 1835121645 is 5461215381.

1835121645 is a `hidden beast` number, since 1 + 8 + 3 + 5 + 1 + 2 + 1 + 645 = 666.

It is not a de Polignac number, because 1835121645 - 2² = 1835121641 is a prime.

It is a super-3 number, since 3×1835121645³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1835121641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5288362 + ... + 5288708.

It is an arithmetic number, because the mean of its divisors is an integer number (38580672).

Almost surely, 2^1835121645 is an apocalyptic number.

1835121645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1835121645 is an abundant number, since it is smaller than the sum of its proper divisors (1868622867).

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

1835121645 is a wasteful number, since it uses less digits than its factorization.

1835121645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 628 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1835121645 is about 42838.3198199929. The cubic root of 1835121645 is about 1224.3012302463.

The spelling of 1835121645 in words is "one billion, eight hundred thirty-five million, one hundred twenty-one thousand, six hundred forty-five".