21734190203904 has 704 divisors, whose sum is σ = 66348040001280. Its totient is φ = 7025900912640.

The previous prime is 21734190203863. The next prime is 21734190203941. The reversal of 21734190203904 is 40930209143712.

21734190203904 is a `hidden beast` number, since 2 + 1 + 73 + 4 + 190 + 2 + 0 + 390 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21734190203904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47558402844 + ... + 47558403300.

Almost surely, 2^{21734190203904} is an apocalyptic number.

21734190203904 is a gapful number since it is divisible by the number (24) 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 21734190203904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33174020000640).

21734190203904 is an abundant number, since it is smaller than the sum of its proper divisors (44613849797376).

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

21734190203904 is a wasteful number, since it uses less digits than its factorization.

21734190203904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 21734190203904 in words is "twenty-one trillion, seven hundred thirty-four billion, one hundred ninety million, two hundred three thousand, nine hundred four".