18834797419920 has 240 divisors, whose sum is σ = 65302814733312. Its totient is φ = 4859934059520.

The previous prime is 18834797419909. The next prime is 18834797419931. The reversal of 18834797419920 is 2991479743881.

18834797419920 is a `hidden beast` number, since 1 + 8 + 8 + 3 + 479 + 7 + 41 + 99 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (18834797419909) and next prime (18834797419931).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176877414 + ... + 176983866.

Almost surely, 2^{18834797419920} is an apocalyptic number.

18834797419920 is a gapful number since it is divisible by the number (10) 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 18834797419920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32651407366656).

18834797419920 is an abundant number, since it is smaller than the sum of its proper divisors (46468017313392).

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

18834797419920 is a wasteful number, since it uses less digits than its factorization.

18834797419920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114430 (or 114421 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 18834797419920 in words is "eighteen trillion, eight hundred thirty-four billion, seven hundred ninety-seven million, four hundred nineteen thousand, nine hundred twenty".