21834351792 has 160 divisors (see below), whose sum is σ = 70218600960. Its totient is φ = 6437594880.

The previous prime is 21834351709. The next prime is 21834351793. The reversal of 21834351792 is 29715343812.

It is a happy number.

21834351792 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 43 + 517 + 92 = 666.

It is a super-2 number, since 2×21834351792² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21834351793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113733 + ... + 237915.

It is an arithmetic number, because the mean of its divisors is an integer number (438866256).

Almost surely, 2^21834351792 is an apocalyptic number.

21834351792 is a gapful number since it is divisible by the number (22) 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 21834351792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35109300480).

21834351792 is an abundant number, since it is smaller than the sum of its proper divisors (48384249168).

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

21834351792 is a wasteful number, since it uses less digits than its factorization.

21834351792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124248 (or 124236 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 21834351792 in words is "twenty-one billion, eight hundred thirty-four million, three hundred fifty-one thousand, seven hundred ninety-two".