1845996153408 has 560 divisors, whose sum is σ = 6345120355200. Its totient is φ = 524456017920.

The previous prime is 1845996153401. The next prime is 1845996153451. The reversal of 1845996153408 is 8043516995481.

1845996153408 is a `hidden beast` number, since 1 + 8 + 4 + 5 + 9 + 9 + 615 + 3 + 4 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1845996153401) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 260767213 + ... + 260774291.

Almost surely, 2^{1845996153408} is an apocalyptic number.

1845996153408 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 1845996153408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172560177600).

1845996153408 is an abundant number, since it is smaller than the sum of its proper divisors (4499124201792).

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

1845996153408 is a wasteful number, since it uses less digits than its factorization.

1845996153408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 1845996153408 in words is "one trillion, eight hundred forty-five billion, nine hundred ninety-six million, one hundred fifty-three thousand, four hundred eight".