1846121472 has 264 divisors, whose sum is σ = 6050276960. Its totient is φ = 537477120.

The previous prime is 1846121449. The next prime is 1846121479. The reversal of 1846121472 is 2741216481.

It is a happy number.

1846121472 is a `hidden beast` number, since 184 + 6 + 1 + 2 + 1 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1846121479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2275947 + ... + 2276757.

Almost surely, 2^1846121472 is an apocalyptic number.

1846121472 is a gapful number since it is divisible by the number (12) 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 1846121472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025138480).

1846121472 is an abundant number, since it is smaller than the sum of its proper divisors (4204155488).

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

1846121472 is a wasteful number, since it uses less digits than its factorization.

1846121472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 848 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1846121472 is about 42966.5157070014. The cubic root of 1846121472 is about 1226.7425367902.

The spelling of 1846121472 in words is "one billion, eight hundred forty-six million, one hundred twenty-one thousand, four hundred seventy-two".