1830237228972 has 96 divisors (see below), whose sum is σ = 4899294167040. Its totient is φ = 590258292480.

The previous prime is 1830237228913. The next prime is 1830237228991. The reversal of 1830237228972 is 2798227320381.

1830237228972 is a `hidden beast` number, since 18 + 302 + 37 + 228 + 9 + 72 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 14457253 + ... + 14583299.

It is an arithmetic number, because the mean of its divisors is an integer number (51034314240).

Almost surely, 2^{1830237228972} is an apocalyptic number.

1830237228972 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 1830237228972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449647083520).

1830237228972 is an abundant number, since it is smaller than the sum of its proper divisors (3069056938068).

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

1830237228972 is a wasteful number, since it uses less digits than its factorization.

1830237228972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130428 (or 130420 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1830237228972 in words is "one trillion, eight hundred thirty billion, two hundred thirty-seven million, two hundred twenty-eight thousand, nine hundred seventy-two".